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%From: WEINBERG@utaphy.ph.utexas.edu
%Date: Sun, 20 Sep 1992 10:43:39 -0500 (CDT)

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\def\sppt{Research supported in part by the
Robert A. Welch Foundation and NSF Grant 

\def\utgp{Theory Group\\ Department of Physics \\ University of Texas
\\ Austin, Texas 78712}


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\begin{document}



\hfill{UTTG-11-92}

\vspace{24pt}

\begin{center}
{\bf   Three-Body Interactions Among Nucleons and Pions}
\vspace{36pt}

 Steven Weinberg\fnote{*}{\sppt.}

\vspace{24pt}
\utgp

\vspace{30pt}
{\bf Abstract}

\end{center}

\begin{minipage}{4.75in}
A chiral invariant effective Lagrangian may be used to
calculate the three-body interactions among low-energy pions
and nucleons in terms of known parameters.  This method is
illustrated by the calculation of the pion-nucleus
scattering length.

\end{minipage}

\vfill

\baselineskip=24pt
\pagebreak
\setcounter{page}{1}


Recent articles\rf{1,2} have described a systematic
effective Lagrangian framework for the calculation of
reactions involving arbitrary numbers of nucleons as well as pions of low
3-momentum.  To leading order in small momenta, the `potential' for such
reactions is given entirely by the tree graphs in which only two of the pions
and/or nucleons interact;  further, their interaction is calculated using the
original effective chiral Lagrangian\rf{3}, which consists of terms with only
the minimum numbers of derivatives or pion mass factors, supplemented by
contact
interaction terms among nucleons.   The corrections to these two-body
interactions of  second order in small momenta involve not only one-loop
graphs,
but also a large number of new terms\rf{4} in the Lagrangian with additional
derivatives, so many that not much can be learned about pion-nucleon or
nucleon-nucleon interactions in this way.  Fortunately, these two-body
interactions can instead be taken from phenomenological models that incorporate
experimental information on nucleon-nucleon, pion-nucleon, and pion-pion
scattering.  The only remaining contributions to the potential of the same
order
in small momenta consist of graphs in which {\em three} particles (or two pairs
of particles) interact, their interactions given by tree graphs calculated from
the original effective chiral Lagrangian.  Thus we can use the three-body
interactions calculated in terms of known parameters from the original
effective
chiral Lagrangians together with experimental data on two-body scattering to
calculate all corrections to the potential of first and second order in small
momenta.

This method will be illustrated here in the calculation of the amplitudes for
pion scattering on complex nuclei.  But first, a reminder of some generalities.

Consider the
amplitude for a process with $N_n$ nucleons and $N_\pi$
pions in the initial state and the same numbers of nucleons
and pions in the
final state, all with 3-momenta no larger than of order
$m_\pi$.    We wish to develop a perturbation theory for
this amplitude, based on an expansion in powers of the ratio
of these small momenta (and the pion mass) to some momentum
scale that is characteristic of quantum chromodynamics,
such as $m_\rho$.  In counting the number of powers of small
momenta in any given ``old fashioned'' (time-ordered)
diagram for this process, we must distinguish between energy
denominators of two types.  Those of the first type arise
from intermediate states that differ from the initial and
final states  in the number of pions and/or in the pion
energies, and are therefore of the order of the small
momenta or the pion mass.  The energy denominators of the
second type arise from intermediate states that differ
from the initial and final states only in the nucleon
momenta, and are therefore much smaller, of the order of the
nucleon kinetic energies.  A given graph is called  {\em
irreducible} if it contains only energy denominators of the
first type.  These are graphs for which the initial particle
lines cannot all be disconnected from the final particle
lines by cutting through any intermediate state containing
$N_n$ nucleons and either  all the initial or all the final
pions.    We shall consider disconnected as well as
connected irreducible graphs, because a general connected
graph is built up from a sequence of both  disconnected and
connected irreducible graphs interleaved with small energy denominators of the
second type.   (However in all graphs considered here, each of the initial
particle lines must be connected to one or more of the final
particle lines, and vice versa.) This sum of disconnected and
connected irreducible graphs is what was referred to above as the potential.

Because irreducible graphs do not contain  anomalously small
energy denominators of the order of nucleon kinetic
energies, it is easy to count the number $\nu$ of powers of
small momenta or pion masses in these graphs.  For an
irreducible graph with $V_i$ vertices of type $i$, $L$
loops, and $C$ separate connected pieces, the number of
powers of small momenta or pion masses is\rf{1,2}
\begin{equation}
\nu = 4-N_n-2C + 2L
+ \sum_i V_i\,\Delta_i\;,
\end{equation}
where $\Delta_i$ is an index for an interaction of type $i$,
given in terms of
 the number $n_i$ of nucleon field factors and the number
$d_i$ of derivatives (or powers of pion mass) in the
interaction, by
\beq
\Delta_i =d_i+\frac{1}{2}n_i-2\;.
\eeq
(In deriving this result, we count $-3$ powers of small
momenta for each line passing without interaction through
the diagram, because the associated momentum-space delta
function reduces the number of momentum factors in the total
connected amplitude by that amount.)

Eq. (1) is useful because chiral invariance rules out any
terms in the Lagrangian with $\Delta_i<0$.  It follows that for any
given number of external lines, the leading irreducible
graphs (those with smallest $\nu$) are the tree graphs (i.
e., $L=0$) with the maximum number $C$ of
connected parts, constructed solely from vertices with
$\Delta_i=0$.
The contribution of these vertices can be read off from the effective
interaction Hamiltonian (in the interaction picture):
\begin{eqnarray}
 H_{{\rm int},\Delta=0}& =& \haf (D^2 - 1) {\dot{\BM \pi}}^2
+ \haf (D^{-2}
- 1) \vec{\nabla}{\BM \pi}\cdot \vec{\nabla}{\BM \pi}
+\haf m_{\pi}^2 (D^{-1} - 1) {\BM \pi}^2 \nonumber  \\& &
+2F_{\pi}^{-4} (\overline{N}({\BM t} \times {\BM \pi})N)^2
\nonumber  \\& &
+\overline{N} \left[2F_{\pi}^{-1}g_A D^{-1}{\BM t}\cdot
(\vec{\sigma}\cdot \vec{\nabla}{\BM \pi}) +2F_{\pi}^{-2}D
{\BM t} \cdot ({\BM \pi} \times \dot{\BM \pi})\right]N
\nonumber  \\& & + \haf C_S(\overline{N}N)(\overline{N}
N) + \haf
C_T(\overline{N}\vec{\sigma}N)(\overline{N}\vec{\sigma}
N)\;.
\end{eqnarray}
which is derived from the most general chiral-invariant
Lagrangian with $\Delta_i = 0$
:
\begin{eqnarray}
{\cal L}_{\Delta=0}&=&- \haf D^{-2}\partial_{\mu}{\BM \pi}
\cdot \partial^{\mu}{\BM \pi}
-\haf D^{-1}m_{\pi}^2 {\BM \pi}^2 \nonumber  \\& & +
\overline{N}\left[i\pa_0 - 2D^{-1} F_{\pi}^{-2}{\BM t} \cdot
({\BM \pi} \times \partial_0{\BM \pi})
-m_N - 2D^{-1} F_{\pi}^{-1}g_A{\BM t} \cdot
(\vec{\sigma}\cdot\vec{\nabla}){ \BM \pi} \right]N \nonumber
\\& &
-\haf C_S (\overline{N}  N)(\overline{N}
 N) -\haf C_T(\overline{N}\vec{\sigma}  N)\cdot(\overline{N}
\vec{\sigma}  N)
\end{eqnarray}
where $g_A \simeq 1.25 $ and $F_{\pi} \simeq $ 190 MeV are
the
usual axial coupling constant and pion decay amplitude;
${\BM t}$ is the nucleon isospin matrix;
$C_S$ and $C_T$ are constants whose values can be inferred
from the singlet and triplet neutron-proton scattering
lengths; and $D \equiv 1+{\BM \pi}^2/F_{\pi}^2$.
(As discussed in ref. 2, terms involving time-derivatives of
the nucleon field are eliminated by a suitable redefinition
of that field, while corrections to the non-relativistic
treatment of the nucleon in (3) and (4) appear as terms in
the effective Hamiltonian and Lagrangian with $\Delta_i>0$.)
The number $C$ of connected parts is given its maximum value
$C=N_n+N_\pi-1$ by including only graphs (with one qualification to be
discussed later) for a single $\pi N$, $N N$, or $\pi \pi$ scattering, with
 all other lines passing without interaction through the diagram.

The corrections to these leading terms with only one extra
factor of small momenta (or $m_\pi$) arise from (a) tree
graphs, with the maximum number $C=N_n+N_\pi-1$ of connected
parts, that involve a single vertex (such as those
arising from non-zero $u$ and $d$ quark masses) with
$\Delta_i =1$, plus any number of vertices with
$\Delta_i=0$.  The next corrections, with two extra factors
of small momenta (or $m_\pi$), arise from (b) one-loop
graphs
with $C=N_n+N_\pi-1$ involving only vertices with
$\Delta_i=0$; (c) tree graphs with $C=N_n+N_\pi-1$ involving
either two vertices with $\Delta_i =1$ or one
vertex with $\Delta_i =2$ (which serve as counterterms
for the infinities encountered in one-loop graphs), as well
as any number of vertices with $\Delta_i=0$ ;
(d) tree graphs, constructed entirely from vertices with
$\Delta_i=0$, that have one less than the maximum number of
connected parts, i. e., with $C=N_n+N_\pi-2$.

As already mentioned, the vertices with $\Delta_i=2$ that contribute to
corrections of type (c) contain so many free parameters\rf4
that little of value can be learned by using the effective
Lagrangian to calculate these corrections.  On the other
hand, these corrections as well as the leading terms and the
corrections of types (a) and (b) all only contribute to the
maximally disconnected irreducible graphs, that consist of a connected piece
involving just two of the incoming nucleons and/or pions, plus disconnected
lines passing without interaction through the diagram for
all of the other incoming nucleons and pions.  But instead
of trying to use the effective Lagrangian to calculate such
two-body interactions, we can draw on various
phenomenological models that incorporate not only chiral
symmetry but the whole body of present experimental
information about low energy nucleon-nucleon,
nucleon-pion, and pion-pion scattering.

There remain only the corrections of type (d), with
$C=N_n+N_\pi-2$.  These are to be calculated from tree
graphs involving only the $\Delta_i=0$ Hamiltonian (3),
which involves no unknown parameters.  These corrections arise
from graphs that either consist of (d1) a connected
piece involving just {\em three} of the incoming nucleons
and/or pions, or (d2) two connected pieces each involving
just two of the incoming nucleons and/or pions, plus in both
cases disconnected lines passing without interaction through
the diagram for all of the other incoming nucleons and
pions.  Graphs of type (d2) may, like the graphs of types (a), (b), and (c),
be taken from suitable phenomenological models based on experimental
information  about two-body scattering processes.  This leaves only the
three-body graphs of type (d1),  which can be calculated from first principles
in terms of known constants.

Let's first see how this applies to processes involving only
nucleons.  Multinucleon scattering amplitudes and
bound-state wave functions are found by solving an inhomogeneous
Lippman-Schwinger or homogeneous Schr\"{o}dinger equation
with the effective potential taken as the sum  of
irreducible graphs.  The graphs for the three-nucleon terms
in the effective potential are shown in Figures (1) and (2).
A cancellation (to leading order in small momenta) was noted
in
reference 2  among the graphs of Figure (1), the only graphs
that involve the part of the effective Hamiltonian (3) that
is non-linear in the pion field.  It is instructive to look
at the reason for this cancellation.  These graphs all
involve a single quadratic interaction
$2F_{\pi}^{-1}g_A \overline{N}\, {\BM t} \cdot ({\BM \pi}
\times \dot{\BM \pi})N$
plus linear interactions of the two pion fields in this
interaction with the other two nucleons.  In each individual
time-ordered graph, the time derivative in the quadratic
interaction makes a contribution of the order of a pion
energy.  However, by summing up the old-fashioned graphs for
all the time-orderings of these three vertices,
we obtain a {\em Feynman diagram} in which energy is
conserved at each vertex, so that the time-derivative yields
a difference of  nucleon kinetic energies, smaller by a
factor at most of order $m_\pi/m_N$.

This leaves the 3-nucleon graphs of Figure (2).  These are
genuine contributions to what we have defined as the
3-nucleon potential, but they involve only the contact and
pion-exchange nucleon-nucleon interactions, and their effect
is actually cancelled by terms in the expansion of the
reducible three-nucleon graphs of
Figure (3) in powers of the ratio of nucleon to pion kinetic
energies.
Again, the reason for this cancellation is not hard to find.
Although in Figure (2) we are not summing over all time
orderings, so that these graphs do not make up a complete
Feynman diagram, the sum of all the time-ordered graphs of
Figures (2) {\em and} (3)  makes up several complete Feynman
diagrams, in which energy denominators are replaced with
pion and nucleon propagators, and energy is conserved at
each vertex.  Since the virtual pion energies
in these Feynman diagrams are equal to differences of
nucleon kinetic energies, and hence negligible compared with
the virtual pion 3-momenta $\vec{q}$, the pion propagators
in these diagrams are just $(\vec{q}{}^2 + m_\pi^2)^{-1}$.
But these Feynman diagrams with such pion propagators are
just what we would get from the old-fashioned diagrams of
Figure (3) if we were to neglect nucleon kinetic energies in
energy denominators for states containing a pion.
Thus we may calculate the multi-nucleon potential to second
order in small momenta by ignoring nucleon kinetic energies
in the energy denominators of the
leading pion-exchange contributions to the potential, {\em
and} ignoring the three (or more) - nucleon contributions
altogether.  This is more or less what nuclear physicists
have always done anyway.\fnote{*}{I am grateful to J. Friar
for pointing out that in some treatments of the nuclear
three-body problem the pion exchange forces are calculated
neglecting nucleon kinetic energies in energy denominators,
and that the corrections to this approximation are of the
same order as the other corrections considered in this
work.}

The three-body forces are  more interesting in processes
involving a pion.  For definiteness, consider the low-energy
elastic scattering of a pion from a nucleus of nucleon
number $A$.  General considerations of scattering theory
tell us that the S-matrix element for this process is simply
given by the matrix element between nuclear wave
functions of the sum of all irreducible graphs with $N_n=A$
and $N_\pi=1$.  (In applying the effective chiral Lagrangian
to such processes we are making use of the fact that typical
3-momenta of nucleons in nuclei are of order $m_\pi$ or
less.)  The leading irreducible graphs are those in which
the pion scatters off a single nucleon, evaluated using the
$\Delta_i=0$ vertices in the tree approximation.\fnote{**}{There are
also nominally
leading terms in which the
incoming pion is absorbed by one nucleon and
the outgoing pion is emitted by another, but when these are
summed over different time-orderings they cancel.  Again,
this is because summing over time-orderings yields a Feynman
diagram in which energy is conserved, but energy cannot be
conserved in the emission or absorption of a single real
pion by a single nucleon.}  To second order in
small momenta, the corrections to these leading terms arise
from corrections to the pion-nucleon scattering amplitude (from
loop graphs and
from vertices with
$\Delta_i=1,2$) which can be taken from
phenomonological models of pion-nucleon scattering, together
with connected three-body interactions among two nucleons
and the pion, calculated from tree graphs evaluated with the
$\Delta_i=0$ vertices in Eq. (3).
The graphs for these three-body interactions are shown in
Figure 4.

This is a lot to calculate, but the problem becomes much
simpler if we restrict our attention to the pion-nucleus
scattering length, for which the incoming and outgoing pion
have vanishing 3-momenta.  The leading terms as well as the
corrections to pion-nucleon scattering give a scattering
length that (apart from reduced-mass corrections) is just
the sum of the scattering
lengths on the individual nucleons.  This leaves only the
three-body irreducible graphs, of which the only ones that
survive in the limit of vanishing external pion 3-momenta
are those shown in Figures 4(a) to 4(f).


 It is easiest to calculate the contributions of Figures
4(a)-4(c) and 4(f) by noting that the sum over time
orderings in graphs of each type [and lumping together graph
4(f),   produced by the interaction term $2F_{\pi}^{-4}
(\overline{N}({\BM t} \times {\BM \pi})N)^2$ in the
Hamiltonian (3), with the other graphs]
must give the same result as the  complete Feynman diagrams
of type 4(a) - 4(c) calculated from the Lagrangian (4)
[which does not contain the interaction $2F_{\pi}^{-4}
(\overline{N}({\BM t} \times {\BM \pi})N)^2$.]  The other
graphs, 4(d) and 4(e), are not summed over all time-orderings
(because the sum  would include reducible as well as
irreducible graphs) and so their contributions must be
calculated using old-fashioned perturbation theory.   These
contributions to the pion-nucleon scattering length are:
\beqra
&& a^{[4(a)]}_{ab}= \frac{m_\pi^2}{2\pi^4 F_\pi^4
(1+m_\pi/m_d)}\sum_{r<s}\left<\frac{1}{\vec{q}_{rs}{}^2}
\left(2{\BM t}^{(r)}\cdot {\BM t}^{(s)}\delta_{ab}-
t_a^{(r)}t_b^{(s)}-
t_a^{(s)}t_b^{(r)}\right)\right>\;,\nonumber\\&&{}
\\&&
a^{[4(b)]}_{ab}= -\frac{g_A^2\delta_{ab}}{2\pi^4 F_\pi^4
(1+m_\pi/m_d)}\sum_{r<s}\left<{\BM t}^{(r)}\cdot {\BM
t}^{(s)}\frac{\vec{q}_{rs}\cdot\vec{\sigma}{}^{(r)}\;
\vec{q}_{rs}\cdot\vec{\sigma}{}^{(s)}}{\vec{q}_{rs}{}^2+
m_\pi^2}\right>\;,
\\&&
a^{[4(c)]}_{ab}= \frac{g_A^2}{2\pi^4 F_\pi^4
(1+m_\pi/m_d)}\nonumber\\&&\qquad\times\;\sum_{r<s}\left<
\frac{\left[{\vec{q}_{rs}{}^2{\BM t}^{(r)}
\cdot \BM
t}^{(s)}\delta_{ab}+m_\pi^2(t_a^{(r)}t_b^{(s)}+t_a^{(s)}t_b^
{(r)})\right] \vec{q}_{rs}\cdot\vec{\sigma}{}^{(r)}\;
\vec{q}_{rs}\cdot\vec{\sigma}{}^{(s)}}{(\vec{q}_{rs}{}^2+
m_\pi^2)^2}\right>\;,
\\&&
a^{[4(d,e)]}_{ab}=\frac{g_A^2 m_\pi}{8\pi^4 F_\pi^4
(1+m_\pi/m_d)}
\sum_{r<s}\left<({\BM t}^{(r)}+{\BM t}^{(s)}) \cdot ({\BM
t}^{(\pi)})_{ab}\frac{\vec{q}_{rs}\cdot\vec{\sigma}{}^{(r)}\;
\vec{q}_{rs}\cdot\vec{\sigma}{}^{(s)}}{(\vec{q}_{rs}{}^2+
m_\pi^2)^{3/2}}\right>\nonumber\\&&{}
\eeqra
where subscripts $a,b$ are pion isovector indices; $r,s$
label individual nucleons;   $\vec{q}_{rs}$ is the momentum
transferred between nucleons $r$ and $s$ in their
interaction with the pion; $\vec{\sigma}{}^{(r)}$ and
${\BM t}^{(r)}$ are the Pauli spin vector and isospin vector
of nucleon $r$; and $(t_c^{(\pi)})_{ab}=-i\epsilon_{abc}$ is
the pion isospin vector.
Note that as a result of a partial cancellation between (6) and (7),
the integrand in the sum of these averages vanishes for
$\vec{q}_{rs}\rightarrow \infty$, which makes the result
less sensitive to the behaviour of the nuclear wave function
at small internucleon separation.\fnote{\dagger}{This cancellation was
noted by Robilotta and Wilkin\rf{5} in the case of pion-deuteron scattering.
They used a different definition of the pion field, so their results for
diagrams 4(b) and 4(c)  were different from (6) and (7), but the sum of their
results agrees with what would be found for  this process from the sum of (6)
and (7).}  To second order in small momenta, the pion-nuclear scattering length
is
\beq
a_{ab}=\frac{1+m_\pi/m_N}{1+m_\pi/Am_N}\sum_r
a^{(r)}_{ab}+a^{[4(a)]}_{ab}+a^{[4(b)]}_{ab}+a^{[4(c)]}_{ab}
+a^{[4(d,e)]}_{ab}
\eeq
where $a^{(r)}_{ab}$ is the pion scattering length on the
$r$'th nucleon.

This all becomes much simpler in two special cases.  One is double
charge-exchange scattering,  $\pi^+ +N\rightarrow \pi^- + N'$, where the
scattering lengths $a^{[r]}_{ab}$ as well as the  corrections (6) and (8)
vanish.  The other, on which we shall concentrate here,  is pion scattering on
an isoscalar nucleus.  Here
$t_a^{(r)}t_b^{(s)}+t_a^{(s)}t_b^{(r)}$ may be replaced with
$\frac{2}{3}\delta_{ab}\, {\BM t}^{(r)}\cdot {\BM t}^{(s)}$,
and Eq. (8) vanishes.  More important, the contributions of the
nominally leading terms in the
pion-nucleon scattering lengths vanish, because they
involve an expectation value of $\sum_r {\BM
t}^{(r)}\cdot{\BM t}^{(\pi)}$, which vanishes in any
isoscalar nucleus.  The first term in (9) arises only from ``$\sigma$-term''
 corrections to
the pion-nucleon scattering lengths, and is therefore relatively small,
making it feasible to compare calculations of the corrections
considered here with experimental measurements of the
pion-nuclear scattering lengths.

This may be illustrated in the paradigmatic case of
pion-deuteron scattering.  To evaluate the two-body terms here we
need to use isotopic spin invariance to derive the
pion-neutron
scattering lengths from measured values of the $\pi^+p$ and
$\pi^-p$ scattering lengths.  This is not entirely
straightforward, because we are interested here in the
relatively small corrections to the leading soft-pion
results for which $a_{\pi p}+a_{\pi n}=0$, and these
corrections arise in part from ``sigma terms'' proportional
to $u$ and $d$ quark masses that do not even approximately
conserve isospin.  Fortunately to first order in quark
masses the isospin violation in the sigma terms affects only
processes involving at least one neutral pion,\rf6 so that
isospin relations {\em can} be used to calculate $a_{\pi
n}$.  This gives the two-body terms in the $\pi-d$
scattering length as\rf7
$\frac{1+m_\pi/m_N}{1+m_\pi/m_d}[a_{\pi p}+a_{\pi n}]=-
(0.021\pm 0.006)m_\pi^{-1}$.  Shifting to coordinate space,
the remaining corrections are given by:
\beq
 a^{[4a)]}=-\frac{ m_\pi^2}{\pi^2 F_\pi^4
(1+m_\pi/m_d)}\int^\infty_0 \frac{(u^2+w^2)}{r}\;dr\;,
\eeq
and
\beqra
 a^{[4(b,c)]}&=&\frac{ m_\pi^2 g_A^2}{3\pi^2 F_\pi^4
(1+m_\pi/m_d)}\,\left[\frac{1}{4}\int^\infty_0
(u^2+w^2)\left(\frac{1}{r}-\frac{m_\pi}{2}\right)e^{-m_\pi
r}\;dr\right. \nonumber\\&&\left.-\int^\infty_0
\left(\frac{uw}{\sqrt{2}}-
\frac{w^2}{4}\right)\left(\frac{1}{r}+m_\pi\right)\,e^{-
m_\pi r}\;dr\right]
\eeqra
where $u$ and $w$ are the s-wave and d-wave parts of the
deuteron wave function, normalized so that
\beq
\int^\infty_0 (u^2+w^2)\;dr=1
\eeq
The rescattering term (10) [but not (11)] has been previously considered in
the books of Eisenberg and Koltun and Ericson and Weise.\rf7
Because of the anomalously large radius of the deuteron, this term is
considerably larger than the remaining three-body term (11), so it should be
calculated including first-order corrections to the pion-nucleon
scattering vertices in Figure 4(a).  Fortunately these
corrections can be taken from the measured values of the
scattering lengths.\rf8  In this way one finds that\rf7
$a^{[4(a)]}=-(0.026\pm 0.001) m_\pi^{-1}$.
The remaining three-body terms (11) are
calculated\fnote{\ddagger}{The calculation of the integrals in
Eqs. (10) and (11) was carried out by R. C. Mastroleo and U.
van Kolck, using the Bonn wave function for the deuteron.}
to be $a^{[4(b,c)]}=-0.0005 m_\pi^{-1}$ (mostly arising from the
interference between s-wave and d-wave parts of the wave
function), in agreement with the numerical result quoted in reference 5.  This
is small compared with the uncertainties in other terms, and so may be
neglected here, though this may not be the case for pion scattering on heavier
nuclei.  This justifies the final theoretical result of reference 7,
 $a_{\pi d}=-(0.050\pm 0.006)m_\pi^{-1}$, which is in good agreement with the
experimental value $-(0.056\pm 0.009)m_\pi^{-1}$.
Although the use of chiral effective Lagrangians has turned out here only to
confirm previous calculations of pion-deuteron scattering as well as nuclear
binding,  the systematic counting of momentum factors in chiral perturbation
theory has proved its value in explaining (as previous calculations did not
explain) just  why it is correct to consider only certain graphs and certain
terms in the effective Lagrangian.

I am grateful for discussions with C. Dove, J. Friar, A.
Gleeson, C. Ordo\~{n}ez, U. van Kolck, and J. D. Walecka.
\pagebreak

\noindent
{\bf References}

\begin{enumerate}
%1
\item S. Weinberg, Physics Letters B 251 (1990) 288.
%2
\item S. Weinberg, Nuclear Physics B 363 (1991) 3.
%3
\item S. Weinberg, Phys. Rev. Lett. 18 (1967) 188 ; Phys. Rev. 166 (1968) 1568
{}.
%4
\item C. Ordo\~{n}ez and U. van Kolck, Texas preprint
UTTG-01-92, to be published in Physics Letters B291 (1992).
%5
\item M. R. Robilotta and C. Wilkin, J. Phys. G: Nucl.
Phys., 4 (1978) L115.  Also see H. McManus and D. O. Riska, Phys. Lett. 92B
(1990) 29.
%6
\item S. Weinberg, in {\em A Festschrift for I. I. Rabi},
Transactions of the N. Y. Academy of Sciences 38 (1977) 185.
%7
\item  J. M. Eisenberg and D. S. Koltun, \ul{Theory of Meson
Interactions with Nuclei} (Wiley-Interscience, New York,
1980); T. Ericson and W. Weise, \ul{Pions and Nuclei}
(Oxford University Press, Oxford, 1988).
%8
\item V. M. Kolybasov and A. E. Kudryavtsev, Zh. Eksper.
Teor. Fiz. (USSR), 63 (1972) 35; Sov. Phys. JETP, 36 (1973)
18.



\end{enumerate}
\end{document}
%
%CUT HERE AND MAKE A SEPARATE FILE%%%%%
%
%%%%%%Here starts the swfig1.psf
%
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%For: (WEINTECH) (THEORY GROUP)
%%Title: (swfig1X92. psf)
%%CreationDate: (9/11/92) (5:48 PM)
%%BoundingBox: 74 167 462 578
%%DocumentProcessColors: Black
%%DocumentFonts: Times-Roman
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 288 360 288 360
%AI3_TileBox: 0 0 552 730
%AI3_DocumentPreview: Header
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
% object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.1 0
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def
% [ number value stream [ array for encoding modification ] modifyEncoding ==>
% [ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll
		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....
			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def
/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def
% re-define font
% expected arguments
% for 'normal fonts :
% [ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% [ ... number value stream ... /_Symbol/Symbol
%	direction fontScript defaultEncoding TZ
% for blended fonts w/ default encoding :
% [ /_AdobeSans_20ULig1XCond-Bold/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
% for blended fonts w/ special encoding :
% [ ... number value stream ... /_AdobeSans_20ULig1XCond/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
/TZ
{
	% set weight vector (if present)
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse
	% platform dependent coding flag
	/_useNativeEncoding exch def
	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	% call makeblended font with the weight values if _wv is an array
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the base encoding vector of the font
		% is the same as StandardEncoding
		% and the use platform encoding flag is true
		% then install AI platform encoding
		% else leave the base encoding in effect
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def
% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def
/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def
/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def
% font operators
% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def
/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def
% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def
/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def
% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def
/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def
% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def
/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def
/Tt	% set user tracking				% userTracking Tt -
{
pop
} def
/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def
/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def
/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def
/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def
/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def
/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def
/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def
/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def
% Text Bodies
/TX {pop} def
%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -
/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def
/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def
/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def
/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def
/T+	% discretionary hyphen hyphen	% - T+ -
{} def
/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def
/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 2
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put
% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
% paint operators
/cf	currentflat def	% - cf flatness
% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
% naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
% typography operators
/Tx {} def
/Tj {} def
% compound path operators
/CRender {} def
% printing
/_AI3_savepage {} def
% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse
% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def
% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def
% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def
% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
newpath
0 setgray
false setoverprint
} def
/~					% - ~ -
{
end
_i restore
} def
% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
% locked object operator
/A					% value A -
{
pop
} def
currentdict readonly pop end
setpacking
% annotate page operator
/annotatepage
{
} def
%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: Times-Roman
Adobe_cmykcolor /initialize get exec
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_typography_AI3 /initialize get exec
Adobe_IllustratorA_AI3 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
%AI3_BeginEncoding: _Times-Roman Times-Roman
[/_Times-Roman/Times-Roman 0 0 1 TZ
%AI3_EndEncoding AdobeType
%%EndSetup
0 A
u
0 O
0 g
0 R
0 G
0 i 0 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
125.98 499.48 m
127.371 499.48 128.5 500.608 128.5 502 c
128.5 503.391 127.371 504.519 125.98 504.519 c
124.588 504.519 123.46 503.391 123.46 502 c
123.46 500.608 124.588 499.48 125.98 499.48 c
b
125.98 502 m
B
U
u
161.981 518.48 m
163.372 518.48 164.5 519.608 164.5 521 c
164.5 522.391 163.372 523.519 161.981 523.519 c
160.589 523.519 159.461 522.391 159.461 521 c
159.461 519.608 160.589 518.48 161.981 518.48 c
b
161.981 521 m
B
U
u
90.5 534.98 m
91.891 534.98 93.019 536.108 93.019 537.5 c
93.019 538.891 91.891 540.019 90.5 540.019 c
89.108 540.019 87.98 538.891 87.98 537.5 c
87.98 536.108 89.108 534.98 90.5 534.98 c
b
90.5 537.5 m
B
U
90 574 m
90 484 l
B
126 574.5 m
126 484 l
B
162 574.5 m
162 484 l
B
[3 2 ]0 d
90.5 537.5 m
125.98 502 l
161.981 521 l
S
u
0 O
0 g
[]0 d
234.52 500.48 m
235.911 500.48 237.04 501.608 237.04 503 c
237.04 504.391 235.911 505.519 234.52 505.519 c
233.128 505.519 232 504.391 232 503 c
232 501.608 233.128 500.48 234.52 500.48 c
b
234.52 503 m
B
U
u
305.48 518.98 m
306.871 518.98 308 520.108 308 521.5 c
308 522.891 306.871 524.019 305.48 524.019 c
304.088 524.019 302.96 522.891 302.96 521.5 c
302.96 520.108 304.088 518.98 305.48 518.98 c
b
305.48 521.5 m
B
U
u
269.481 536.98 m
270.872 536.98 272 538.108 272 539.5 c
272 540.891 270.872 542.019 269.481 542.019 c
268.089 542.019 266.961 540.891 266.961 539.5 c
266.961 538.108 268.089 536.98 269.481 536.98 c
b
269.481 539.5 m
B
U
234 574.5 m
234 484.5 l
B
270 575 m
270 484.5 l
B
306 575 m
306 484.5 l
B
u
449.98 500.48 m
451.371 500.48 452.5 501.608 452.5 503 c
452.5 504.391 451.371 505.519 449.98 505.519 c
448.588 505.519 447.46 504.391 447.46 503 c
447.46 501.608 448.588 500.48 449.98 500.48 c
b
449.98 503 m
B
U
u
413.98 518.48 m
415.371 518.48 416.5 519.608 416.5 521 c
416.5 522.391 415.371 523.519 413.98 523.519 c
412.588 523.519 411.46 522.391 411.46 521 c
411.46 519.608 412.588 518.48 413.98 518.48 c
b
413.98 521 m
B
U
u
378.48 536.48 m
379.871 536.48 381 537.608 381 539 c
381 540.391 379.871 541.519 378.48 541.519 c
377.088 541.519 375.96 540.391 375.96 539 c
375.96 537.608 377.088 536.48 378.48 536.48 c
b
378.48 539 m
B
U
378 574 m
378 484 l
B
414 574.5 m
414 484 l
B
450 574.5 m
450 484 l
B
u
125 356.98 m
126.391 356.98 127.519 358.108 127.519 359.5 c
127.519 360.891 126.391 362.019 125 362.019 c
123.608 362.019 122.48 360.891 122.48 359.5 c
122.48 358.108 123.608 356.98 125 356.98 c
b
U
u
88.98 339.48 m
90.371 339.48 91.5 340.608 91.5 342 c
91.5 343.391 90.371 344.519 88.98 344.519 c
87.588 344.519 86.46 343.391 86.46 342 c
86.46 340.608 87.588 339.48 88.98 339.48 c
b
U
89 413.5 m
89 323.5 l
B
125 414 m
125 323.5 l
B
161 414 m
161 323.5 l
B
u
304.481 394.48 m
305.872 394.48 307 395.608 307 397 c
307 398.391 305.872 399.519 304.481 399.519 c
303.089 399.519 301.961 398.391 301.961 397 c
301.961 395.608 303.089 394.48 304.481 394.48 c
b
304.481 397 m
B
U
u
268.5 357.48 m
269.891 357.48 271.019 358.608 271.019 360 c
271.019 361.391 269.891 362.519 268.5 362.519 c
267.108 362.519 265.98 361.391 265.98 360 c
265.98 358.608 267.108 357.48 268.5 357.48 c
b
268.5 360 m
B
U
u
232.48 376.48 m
233.871 376.48 235 377.608 235 379 c
235 380.391 233.871 381.519 232.48 381.519 c
231.088 381.519 229.96 380.391 229.96 379 c
229.96 377.608 231.088 376.48 232.48 376.48 c
b
232.48 379 m
B
U
232.5 414 m
232.5 324 l
B
268.5 414.5 m
268.5 324 l
B
304.5 414.5 m
304.5 324 l
B
u
161.48 376.48 m
162.872 376.48 164 377.608 164 379 c
164 380.391 162.872 381.519 161.48 381.519 c
160.089 381.519 158.961 380.391 158.961 379 c
158.961 377.608 160.089 376.48 161.48 376.48 c
b
161.48 379 m
B
U
[3 2 ]0 d
234.52 503 m
269.481 539.5 l
305.48 521.5 l
S
449.98 503 m
413.98 521 l
378.48 539 l
S
89 342.5 m
124.5 359.5 l
161.48 379 l
S
232.48 379 m
268.5 360 l
304.481 397 l
S
u
0 O
0 g
[]0 d
448.98 338.48 m
450.371 338.48 451.5 339.608 451.5 341 c
451.5 342.391 450.371 343.519 448.98 343.519 c
447.588 343.519 446.46 342.391 446.46 341 c
446.46 339.608 447.588 338.48 448.98 338.48 c
b
448.98 341 m
B
U
u
413.48 374.48 m
414.871 374.48 416 375.608 416 377 c
416 378.391 414.871 379.519 413.48 379.519 c
412.088 379.519 410.96 378.391 410.96 377 c
410.96 375.608 412.088 374.48 413.48 374.48 c
b
413.48 377 m
B
U
u
377.48 356.48 m
378.871 356.48 380 357.608 380 359 c
380 360.391 378.871 361.519 377.48 361.519 c
376.088 361.519 374.96 360.391 374.96 359 c
374.96 357.608 376.088 356.48 377.48 356.48 c
b
377.48 359 m
B
U
377 413.5 m
377 323.5 l
B
413 414 m
413 323.5 l
B
449 414 m
449 323.5 l
B
[3 2 ]0 d
376.98 361 m
S
377.48 359 m
413.48 377 l
448.98 341 l
S
0 To
1 0 0 1 87 228 0 Tp
TP
0 Tr
0 O
0 g
[]0 d
/_Times-Roman 12 Tf
0 Ts
100 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
14.5 0 Tl
0 Tc
0 Tw
(Fig 1.  Irreducible connected graphs for the three-nucleon potential, that\r)
Tx
T*
(involve the non-linear pion-nucleon interaction.  \(In all figures, solid
lines \r) Tx
T*
(are nucleons and dashed lines are pions.  Also, diagrams differing only by \r)
Tx
T*
(by permutations of nucleons are not shown.\)\r) Tx
T*
(\r) Tx
TO
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_cmykcolor /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
%
%%%%%%Here starts the figure2:  %
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%For: (WEINTECH) (THEORY GROUP)
%%Title: (swfig2.psf )
%%CreationDate: (9/11/92) (5:39 PM)
%%BoundingBox: 59 72 470 692
%%DocumentProcessColors: Black
%%DocumentFonts: Times-Roman
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 288 360 288 360
%AI3_TileBox: 0 0 552 730
%AI3_DocumentPreview: Header
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
% object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.1 0
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def
% [ number value stream [ array for encoding modification ] modifyEncoding ==>
% [ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll
		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....
			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def
/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def
% re-define font
% expected arguments
% for 'normal fonts :
% [ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% [ ... number value stream ... /_Symbol/Symbol
%	direction fontScript defaultEncoding TZ
% for blended fonts w/ default encoding :
% [ /_AdobeSans_20ULig1XCond-Bold/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
% for blended fonts w/ special encoding :
% [ ... number value stream ... /_AdobeSans_20ULig1XCond/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
/TZ
{
	% set weight vector (if present)
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse
	% platform dependent coding flag
	/_useNativeEncoding exch def
	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	% call makeblended font with the weight values if _wv is an array
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the base encoding vector of the font
		% is the same as StandardEncoding
		% and the use platform encoding flag is true
		% then install AI platform encoding
		% else leave the base encoding in effect
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def
% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def
/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def
/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def
% font operators
% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def
/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def
% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def
/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def
% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def
/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def
% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def
/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def
/Tt	% set user tracking				% userTracking Tt -
{
pop
} def
/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def
/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def
/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def
/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def
/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def
/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def
/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def
/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def
% Text Bodies
/TX {pop} def
%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -
/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def
/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def
/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def
/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def
/T+	% discretionary hyphen hyphen	% - T+ -
{} def
/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def
/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 2
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put
% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
% paint operators
/cf	currentflat def	% - cf flatness
% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
% naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
% typography operators
/Tx {} def
/Tj {} def
% compound path operators
/CRender {} def
% printing
/_AI3_savepage {} def
% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse
% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def
% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def
% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def
% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
newpath
0 setgray
false setoverprint
} def
/~					% - ~ -
{
end
_i restore
} def
% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
% locked object operator
/A					% value A -
{
pop
} def
currentdict readonly pop end
setpacking
% annotate page operator
/annotatepage
{
} def
%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: Times-Roman
Adobe_cmykcolor /initialize get exec
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_typography_AI3 /initialize get exec
Adobe_IllustratorA_AI3 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
%AI3_BeginEncoding: _Times-Roman Times-Roman
[/_Times-Roman/Times-Roman 0 0 1 TZ
%AI3_EndEncoding AdobeType
%%EndSetup
0 A
u
0 O
0 g
0 R
0 G
0 i 0 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
414.02 221.52 m
412.629 221.52 411.5 220.392 411.5 219 c
411.5 217.609 412.629 216.481 414.02 216.481 c
415.412 216.481 416.54 217.609 416.54 219 c
416.54 220.392 415.412 221.52 414.02 221.52 c
b
414.02 219 m
B
U
u
378 168.02 m
376.609 168.02 375.481 166.892 375.481 165.5 c
375.481 164.109 376.609 162.981 378 162.981 c
379.392 162.981 380.52 164.109 380.52 165.5 c
380.52 166.892 379.392 168.02 378 168.02 c
b
378 165.5 m
B
U
u
414 203.52 m
412.609 203.52 411.481 202.392 411.481 201 c
411.481 199.609 412.609 198.481 414 198.481 c
415.392 198.481 416.52 199.609 416.52 201 c
416.52 202.392 415.392 203.52 414 203.52 c
b
414 201 m
B
U
u
449.5 186.02 m
448.109 186.02 446.981 184.892 446.981 183.5 c
446.981 182.109 448.109 180.981 449.5 180.981 c
450.892 180.981 452.02 182.109 452.02 183.5 c
452.02 184.892 450.892 186.02 449.5 186.02 c
b
449.5 183.5 m
B
U
450 147 m
450 237 l
B
414 146.5 m
414 237 l
B
378 146.5 m
378 237 l
B
[3 2 ]0 d
449.5 183.5 m
414 201 l
S
414.02 219 m
378 165.5 l
S
u
0 O
0 g
[]0 d
270.02 223.02 m
268.629 223.02 267.5 221.892 267.5 220.5 c
267.5 219.109 268.629 217.981 270.02 217.981 c
271.412 217.981 272.54 219.109 272.54 220.5 c
272.54 221.892 271.412 223.02 270.02 223.02 c
b
270.02 220.5 m
B
U
u
234.02 187.52 m
232.629 187.52 231.5 186.392 231.5 185 c
231.5 183.609 232.629 182.481 234.02 182.481 c
235.412 182.481 236.54 183.609 236.54 185 c
236.54 186.392 235.412 187.52 234.02 187.52 c
b
234.02 185 m
B
U
u
270 205.02 m
268.609 205.02 267.481 203.892 267.481 202.5 c
267.481 201.109 268.609 199.981 270 199.981 c
271.392 199.981 272.52 201.109 272.52 202.5 c
272.52 203.892 271.392 205.02 270 205.02 c
b
270 202.5 m
B
U
u
306 169.52 m
304.609 169.52 303.481 168.392 303.481 167 c
303.481 165.609 304.609 164.481 306 164.481 c
307.392 164.481 308.52 165.609 308.52 167 c
308.52 168.392 307.392 169.52 306 169.52 c
b
306 167 m
B
U
306 148.5 m
306 238.5 l
B
270 148 m
270 238.5 l
B
234 148 m
234 238.5 l
B
[3 2 ]0 d
306 167 m
270 202.5 l
S
270.02 220.5 m
234.02 185 l
S
u
0 O
0 g
[]0 d
124.98 326.48 m
126.371 326.48 127.5 327.608 127.5 329 c
127.5 330.391 126.371 331.519 124.98 331.519 c
123.588 331.519 122.46 330.391 122.46 329 c
122.46 327.608 123.588 326.48 124.98 326.48 c
b
124.98 329 m
B
U
u
161.48 389.48 m
162.871 389.48 164 390.608 164 392 c
164 393.391 162.871 394.519 161.48 394.519 c
160.088 394.519 158.96 393.391 158.96 392 c
158.96 390.608 160.088 389.48 161.48 389.48 c
b
161.48 392 m
B
U
u
125.48 361.98 m
126.871 361.98 128 363.108 128 364.5 c
128 365.891 126.871 367.019 125.48 367.019 c
124.088 367.019 122.96 365.891 122.96 364.5 c
122.96 363.108 124.088 361.98 125.48 361.98 c
b
125.48 364.5 m
B
U
u
89.48 344.48 m
90.871 344.48 92 345.608 92 347 c
92 348.391 90.871 349.519 89.48 349.519 c
88.088 349.519 86.96 348.391 86.96 347 c
86.96 345.608 88.088 344.48 89.48 344.48 c
b
89.48 347 m
B
U
89 401 m
89 311 l
B
125 401.5 m
125 311 l
B
161 401.5 m
161 311 l
B
[3 2 ]0 d
89.48 347 m
125.48 364.5 l
S
124.98 329 m
161.48 392 l
S
u
0 O
0 g
[]0 d
305.5 379.48 m
306.891 379.48 308.019 380.608 308.019 382 c
308.019 383.391 306.891 384.519 305.5 384.519 c
304.108 384.519 302.98 383.391 302.98 382 c
302.98 380.608 304.108 379.48 305.5 379.48 c
b
U
u
269.5 343.98 m
270.891 343.98 272.019 345.108 272.019 346.5 c
272.019 347.891 270.891 349.019 269.5 349.019 c
268.108 349.019 266.98 347.891 266.98 346.5 c
266.98 345.108 268.108 343.98 269.5 343.98 c
b
U
[3 2 ]0 d
269.5 346.5 m
305.5 382 l
S
u
0 O
0 g
[]0 d
233.48 326.48 m
234.871 326.48 236 327.608 236 329 c
236 330.391 234.871 331.519 233.48 331.519 c
232.088 331.519 230.96 330.391 230.96 329 c
230.96 327.608 232.088 326.48 233.48 326.48 c
b
U
233.5 400.5 m
233.5 310.5 l
B
269.5 401 m
269.5 310.5 l
B
305.5 401 m
305.5 310.5 l
B
u
414.98 325.48 m
416.371 325.48 417.5 326.608 417.5 328 c
417.5 329.391 416.371 330.519 414.98 330.519 c
413.588 330.519 412.46 329.391 412.46 328 c
412.46 326.608 413.588 325.48 414.98 325.48 c
b
414.98 328 m
B
U
u
450.98 362.98 m
452.371 362.98 453.5 364.108 453.5 365.5 c
453.5 366.891 452.371 368.019 450.98 368.019 c
449.588 368.019 448.46 366.891 448.46 365.5 c
448.46 364.108 449.588 362.98 450.98 362.98 c
b
450.98 365.5 m
B
U
u
414.98 380.48 m
416.371 380.48 417.5 381.608 417.5 383 c
417.5 384.391 416.371 385.519 414.98 385.519 c
413.588 385.519 412.46 384.391 412.46 383 c
412.46 381.608 413.588 380.48 414.98 380.48 c
b
414.98 383 m
B
U
u
378.98 344.98 m
380.371 344.98 381.5 346.108 381.5 347.5 c
381.5 348.891 380.371 350.019 378.98 350.019 c
377.588 350.019 376.46 348.891 376.46 347.5 c
376.46 346.108 377.588 344.98 378.98 344.98 c
b
378.98 347.5 m
B
U
379 400 m
379 310 l
B
415 400.5 m
415 310 l
B
451 400.5 m
451 310 l
B
u
162 199.48 m
163.391 199.48 164.519 200.608 164.519 202 c
164.519 203.391 163.391 204.519 162 204.519 c
160.608 204.519 159.48 203.391 159.48 202 c
159.48 200.608 160.608 199.48 162 199.48 c
b
162 202 m
B
U
u
126 217.98 m
127.391 217.98 128.519 219.108 128.519 220.5 c
128.519 221.891 127.391 223.019 126 223.019 c
124.608 223.019 123.48 221.891 123.48 220.5 c
123.48 219.108 124.608 217.98 126 217.98 c
b
126 220.5 m
B
U
u
126 181.48 m
127.391 181.48 128.519 182.608 128.519 184 c
128.519 185.391 127.391 186.519 126 186.519 c
124.608 186.519 123.48 185.391 123.48 184 c
123.48 182.608 124.608 181.48 126 181.48 c
b
126 184 m
B
U
u
89.98 163.48 m
91.371 163.48 92.5 164.608 92.5 166 c
92.5 167.391 91.371 168.519 89.98 168.519 c
88.588 168.519 87.46 167.391 87.46 166 c
87.46 164.608 88.588 163.48 89.98 163.48 c
b
89.98 166 m
B
U
90 238 m
90 148 l
B
126 238.5 m
126 148 l
B
162 238.5 m
162 148 l
B
[3 2 ]0 d
414.98 328 m
450.98 365.5 l
S
414.98 383 m
378.98 347.5 l
S
u
0 O
0 g
[]0 d
270.019 361.98 m
271.411 361.98 272.539 363.108 272.539 364.5 c
272.539 365.891 271.411 367.019 270.019 367.019 c
268.628 367.019 267.5 365.891 267.5 364.5 c
267.5 363.108 268.628 361.98 270.019 361.98 c
b
270.019 364.5 m
B
U
[3 2 ]0 d
233.5 329 m
270.019 364.5 l
S
89.98 166 m
126 220.5 l
S
126 184 m
162 202 l
S
u
0 O
0 g
[]0 d
307.02 510.52 m
305.629 510.52 304.5 509.392 304.5 508 c
304.5 506.609 305.629 505.481 307.02 505.481 c
308.412 505.481 309.54 506.609 309.54 508 c
309.54 509.392 308.412 510.52 307.02 510.52 c
b
307.02 508 m
B
U
u
343 475.02 m
341.609 475.02 340.481 473.892 340.481 472.5 c
340.481 471.109 341.609 469.981 343 469.981 c
344.392 469.981 345.52 471.109 345.52 472.5 c
345.52 473.892 344.392 475.02 343 475.02 c
b
343 472.5 m
B
U
u
343.02 492.52 m
341.629 492.52 340.5 491.392 340.5 490 c
340.5 488.609 341.629 487.481 343.02 487.481 c
344.412 487.481 345.54 488.609 345.54 490 c
345.54 491.392 344.412 492.52 343.02 492.52 c
b
343.02 490 m
B
U
u
379.02 529.52 m
377.629 529.52 376.5 528.392 376.5 527 c
376.5 525.609 377.629 524.481 379.02 524.481 c
380.412 524.481 381.54 525.609 381.54 527 c
381.54 528.392 380.412 529.52 379.02 529.52 c
b
379.02 527 m
B
U
379 455 m
379 545 l
B
343 454.5 m
343 545 l
B
307 454.5 m
307 545 l
B
[3 2 ]0 d
379.02 527 m
343 472.5 l
S
u
0 O
0 g
[]0 d
163.02 528.52 m
161.629 528.52 160.5 527.392 160.5 526 c
160.5 524.609 161.629 523.481 163.02 523.481 c
164.412 523.481 165.54 524.609 165.54 526 c
165.54 527.392 164.412 528.52 163.02 528.52 c
b
163.02 526 m
B
U
u
199 475.02 m
197.609 475.02 196.481 473.892 196.481 472.5 c
196.481 471.109 197.609 469.981 199 469.981 c
200.392 469.981 201.52 471.109 201.52 472.5 c
201.52 473.892 200.392 475.02 199 475.02 c
b
199 472.5 m
B
U
u
199.02 492.52 m
197.629 492.52 196.5 491.392 196.5 490 c
196.5 488.609 197.629 487.481 199.02 487.481 c
200.412 487.481 201.54 488.609 201.54 490 c
201.54 491.392 200.412 492.52 199.02 492.52 c
b
199.02 490 m
B
U
u
235.02 510.52 m
233.629 510.52 232.5 509.392 232.5 508 c
232.5 506.609 233.629 505.481 235.02 505.481 c
236.412 505.481 237.54 506.609 237.54 508 c
237.54 509.392 236.412 510.52 235.02 510.52 c
b
235.02 508 m
B
U
235 455 m
235 545 l
B
199 454.5 m
199 545 l
B
163 454.5 m
163 545 l
B
[3 2 ]0 d
343.02 490 m
307.02 508 l
S
235.02 508 m
199 472.5 l
S
199.02 490 m
163.02 526 l
S
u
0 O
0 g
[]0 d
360.25 640.23 m
358.859 640.23 357.731 641.358 357.731 642.75 c
357.731 644.141 358.859 645.269 360.25 645.269 c
361.642 645.269 362.77 644.141 362.77 642.75 c
362.77 641.358 361.642 640.23 360.25 640.23 c
b
360.25 642.75 m
B
U
u
160.75 667.23 m
159.359 667.23 158.231 668.358 158.231 669.75 c
158.231 671.141 159.359 672.269 160.75 672.269 c
162.142 672.269 163.27 671.141 163.27 669.75 c
163.27 668.358 162.142 667.23 160.75 667.23 c
b
160.75 669.75 m
B
U
u
203.75 613.23 m
202.359 613.23 201.231 614.358 201.231 615.75 c
201.231 617.141 202.359 618.269 203.75 618.269 c
205.142 618.269 206.27 617.141 206.27 615.75 c
206.27 614.358 205.142 613.23 203.75 613.23 c
b
203.75 615.75 m
B
U
u
214.25 639.23 m
212.859 639.23 211.731 640.358 211.731 641.75 c
211.731 643.141 212.859 644.269 214.25 644.269 c
215.642 644.269 216.77 643.141 216.77 641.75 c
216.77 640.358 215.642 639.23 214.25 639.23 c
b
214.25 641.75 m
B
U
196.25 688.25 m
232.25 597.75 l
B
232.25 687.75 m
196.25 597.75 l
B
160.25 688.25 m
160.25 597.75 l
B
u
306.27 613.23 m
304.879 613.23 303.75 614.358 303.75 615.75 c
303.75 617.141 304.879 618.269 306.27 618.269 c
307.662 618.269 308.79 617.141 308.79 615.75 c
308.79 614.358 307.662 613.23 306.27 613.23 c
b
306.27 615.75 m
B
U
342.25 688.25 m
378.25 597.75 l
B
378.25 687.75 m
342.25 597.75 l
B
306.25 688.25 m
306.25 597.75 l
B
u
349.25 667.23 m
347.859 667.23 346.731 668.358 346.731 669.75 c
346.731 671.141 347.859 672.269 349.25 672.269 c
350.642 672.269 351.77 671.141 351.77 669.75 c
351.77 668.358 350.642 667.23 349.25 667.23 c
b
349.25 669.75 m
B
U
[3 2 ]0 d
203.75 615.75 m
160.75 669.75 l
S
349.25 669.75 m
306.27 615.75 l
S
u
0 To
1 0 0 1 72 90 0 Tp
TP
0 Tr
0 O
0 g
[]0 d
/_Times-Roman 12 Tf
0 Ts
100 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
14.5 0 Tl
0 Tc
0 Tw
(Fig. 2.  Irreducible connected graphs for the three-nucleon potential, that do
n) Tx
(ot\r) Tx
T*
(involve the non-linear pion-nucleon interaction.) Tx
(\r) TX
TO
U
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_cmykcolor /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
%
%%%%%%Here starts the figure3:  %
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%For: (WEINTECH) (THEORY GROUP)
%%Title: (swfig3X92.psf)
%%CreationDate: (9/11/92) (5:49 PM)
%%BoundingBox: 81 117 510 599
%%DocumentProcessColors: Black
%%DocumentFonts: Times-Roman
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 31 582 761
%AI3_DocumentPreview: Header
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
% object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.1 0
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def
% [ number value stream [ array for encoding modification ] modifyEncoding ==>
% [ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll
		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....
			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def
/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def
% re-define font
% expected arguments
% for 'normal fonts :
% [ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% [ ... number value stream ... /_Symbol/Symbol
%	direction fontScript defaultEncoding TZ
% for blended fonts w/ default encoding :
% [ /_AdobeSans_20ULig1XCond-Bold/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
% for blended fonts w/ special encoding :
% [ ... number value stream ... /_AdobeSans_20ULig1XCond/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
/TZ
{
	% set weight vector (if present)
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse
	% platform dependent coding flag
	/_useNativeEncoding exch def
	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	% call makeblended font with the weight values if _wv is an array
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the base encoding vector of the font
		% is the same as StandardEncoding
		% and the use platform encoding flag is true
		% then install AI platform encoding
		% else leave the base encoding in effect
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def
% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def
/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def
/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def
% font operators
% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def
/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def
% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def
/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def
% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def
/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def
% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def
/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def
/Tt	% set user tracking				% userTracking Tt -
{
pop
} def
/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def
/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def
/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def
/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def
/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def
/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def
/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def
/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def
% Text Bodies
/TX {pop} def
%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -
/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def
/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def
/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def
/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def
/T+	% discretionary hyphen hyphen	% - T+ -
{} def
/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def
/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 2
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put
% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
% paint operators
/cf	currentflat def	% - cf flatness
% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
% naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
% typography operators
/Tx {} def
/Tj {} def
% compound path operators
/CRender {} def
% printing
/_AI3_savepage {} def
% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse
% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def
% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def
% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def
% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
newpath
0 setgray
false setoverprint
} def
/~					% - ~ -
{
end
_i restore
} def
% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
% locked object operator
/A					% value A -
{
pop
} def
currentdict readonly pop end
setpacking
% annotate page operator
/annotatepage
{
} def
%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: Times-Roman
Adobe_cmykcolor /initialize get exec
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_typography_AI3 /initialize get exec
Adobe_IllustratorA_AI3 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
%AI3_BeginEncoding: _Times-Roman Times-Roman
[/_Times-Roman/Times-Roman 0 0 1 TZ
%AI3_EndEncoding AdobeType
%%EndSetup
0 A
u
0 O
0 g
0 R
0 G
0 i 0 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
467.0095 401.73 m
465.6185 401.73 464.4905 402.858 464.4905 404.25 c
464.4905 405.641 465.6185 406.769 467.0095 406.769 c
468.4015 406.769 469.5295 405.641 469.5295 404.25 c
469.5295 402.858 468.4015 401.73 467.0095 401.73 c
b
467.0095 404.25 m
B
U
u
269.0095 369.73 m
267.6185 369.73 266.4905 370.858 266.4905 372.25 c
266.4905 373.641 267.6185 374.769 269.0095 374.769 c
270.4015 374.769 271.5295 373.641 271.5295 372.25 c
271.5295 370.858 270.4015 369.73 269.0095 369.73 c
b
269.0095 372.25 m
B
U
u
316.5095 387.73 m
315.1185 387.73 313.9905 388.858 313.9905 390.25 c
313.9905 391.641 315.1185 392.769 316.5095 392.769 c
317.9015 392.769 319.0295 391.641 319.0295 390.25 c
319.0295 388.858 317.9015 387.73 316.5095 387.73 c
b
316.5095 390.25 m
B
U
u
323.0095 400.73 m
321.6185 400.73 320.4905 401.858 320.4905 403.25 c
320.4905 404.641 321.6185 405.769 323.0095 405.769 c
324.4015 405.769 325.5295 404.641 325.5295 403.25 c
325.5295 401.858 324.4015 400.73 323.0095 400.73 c
b
323.0095 403.25 m
B
U
305.0095 449.75 m
341.0095 359.25 l
B
u
340.5815 449.4565 m
304.5815 359.4565 l
B
U
269.0095 449.75 m
269.0095 359.25 l
B
u
413.0295 379.23 m
411.6385 379.23 410.5095 380.358 410.5095 381.75 c
410.5095 383.141 411.6385 384.269 413.0295 384.269 c
414.4215 384.269 415.5495 383.141 415.5495 381.75 c
415.5495 380.358 414.4215 379.23 413.0295 379.23 c
b
413.0295 381.75 m
B
U
449.0095 449.75 m
485.0095 359.25 l
B
485.0095 449.25 m
449.0095 359.25 l
B
413.0095 449.75 m
413.0095 359.25 l
B
u
453.0095 365.73 m
451.6185 365.73 450.4905 366.858 450.4905 368.25 c
450.4905 369.641 451.6185 370.769 453.0095 370.769 c
454.4015 370.769 455.5295 369.641 455.5295 368.25 c
455.5295 366.858 454.4015 365.73 453.0095 365.73 c
b
453.0095 368.25 m
B
U
[3 2 ]0 d
316.5095 390.25 m
269.0095 372.25 l
S
453.0095 368.25 m
413.0295 381.75 l
S
u
0 O
0 g
[]0 d
458.5095 239.23 m
457.1185 239.23 455.9905 240.358 455.9905 241.75 c
455.9905 243.141 457.1185 244.269 458.5095 244.269 c
459.9015 244.269 461.0295 243.141 461.0295 241.75 c
461.0295 240.358 459.9015 239.23 458.5095 239.23 c
b
458.5095 241.75 m
B
U
u
271.0095 279.73 m
269.6185 279.73 268.4905 280.858 268.4905 282.25 c
268.4905 283.641 269.6185 284.769 271.0095 284.769 c
272.4015 284.769 273.5295 283.641 273.5295 282.25 c
273.5295 280.858 272.4015 279.73 271.0095 279.73 c
b
271.0095 282.25 m
B
U
u
309.0095 292.73 m
307.6185 292.73 306.4905 293.858 306.4905 295.25 c
306.4905 296.641 307.6185 297.769 309.0095 297.769 c
310.4015 297.769 311.5295 296.641 311.5295 295.25 c
311.5295 293.858 310.4015 292.73 309.0095 292.73 c
b
309.0095 295.25 m
B
U
u
324.5095 251.73 m
323.1185 251.73 321.9905 252.858 321.9905 254.25 c
321.9905 255.641 323.1185 256.769 324.5095 256.769 c
325.9015 256.769 327.0295 255.641 327.0295 254.25 c
327.0295 252.858 325.9015 251.73 324.5095 251.73 c
b
324.5095 254.25 m
B
U
306.5095 300.75 m
342.5095 210.25 l
B
342.5095 300.25 m
306.5095 210.25 l
B
270.5095 300.75 m
270.5095 210.25 l
B
435.5095 300.75 m
471.5095 210.25 l
B
u
482.0095 300.25 m
446.0095 210.25 l
B
U
u
448.5095 264.73 m
447.1185 264.73 445.9905 265.858 445.9905 267.25 c
445.9905 268.641 447.1185 269.769 448.5095 269.769 c
449.9015 269.769 451.0295 268.641 451.0295 267.25 c
451.0295 265.858 449.9015 264.73 448.5095 264.73 c
b
448.5095 267.25 m
B
U
[3 2 ]0 d
309.0095 295.25 m
271.0095 282.25 l
S
u
0 O
0 g
[]0 d
157.75 554.23 m
159.141 554.23 160.27 555.358 160.27 556.75 c
160.27 558.141 159.141 559.269 157.75 559.269 c
156.358 559.269 155.23 558.141 155.23 556.75 c
155.23 555.358 156.358 554.23 157.75 554.23 c
b
157.75 556.75 m
B
U
u
193.25 571.73 m
194.641 571.73 195.77 572.858 195.77 574.25 c
195.77 575.641 194.641 576.769 193.25 576.769 c
191.858 576.769 190.73 575.641 190.73 574.25 c
190.73 572.858 191.858 571.73 193.25 571.73 c
b
193.25 574.25 m
B
U
u
157.75 541.23 m
159.141 541.23 160.27 542.358 160.27 543.75 c
160.27 545.141 159.141 546.269 157.75 546.269 c
156.358 546.269 155.23 545.141 155.23 543.75 c
155.23 542.358 156.358 541.23 157.75 541.23 c
b
157.75 543.75 m
B
U
u
121.75 523.73 m
123.141 523.73 124.27 524.858 124.27 526.25 c
124.27 527.641 123.141 528.769 121.75 528.769 c
120.358 528.769 119.23 527.641 119.23 526.25 c
119.23 524.858 120.358 523.73 121.75 523.73 c
b
121.75 526.25 m
B
U
121.27 594.75 m
121.27 504.75 l
B
157.27 595.25 m
157.27 504.75 l
B
193.27 595.25 m
193.27 504.75 l
B
[3 2 ]0 d
121.75 526.75 m
157.75 544.25 l
S
u
0 O
0 g
[]0 d
337.77 573.23 m
339.161 573.23 340.289 574.358 340.289 575.75 c
340.289 577.141 339.161 578.269 337.77 578.269 c
336.378 578.269 335.25 577.141 335.25 575.75 c
335.25 574.358 336.378 573.23 337.77 573.23 c
b
U
u
301.27 557.73 m
302.661 557.73 303.789 558.858 303.789 560.25 c
303.789 561.641 302.661 562.769 301.27 562.769 c
299.878 562.769 298.75 561.641 298.75 560.25 c
298.75 558.858 299.878 557.73 301.27 557.73 c
b
U
[3 2 ]0 d
301.77 560.25 m
337.77 576.25 l
S
u
0 O
0 g
[]0 d
266.25 529.73 m
267.641 529.73 268.77 530.858 268.77 532.25 c
268.77 533.641 267.641 534.769 266.25 534.769 c
264.858 534.769 263.73 533.641 263.73 532.25 c
263.73 530.858 264.858 529.73 266.25 529.73 c
b
U
265.77 594.25 m
265.77 504.25 l
B
301.7475 595.25 m
301.7475 504.75 l
B
337.77 594.75 m
337.77 504.25 l
B
u
447.75 528.73 m
449.141 528.73 450.27 529.858 450.27 531.25 c
450.27 532.641 449.141 533.769 447.75 533.769 c
446.358 533.769 445.23 532.641 445.23 531.25 c
445.23 529.858 446.358 528.73 447.75 528.73 c
b
447.75 531.25 m
B
U
u
483.25 556.73 m
484.641 556.73 485.77 557.858 485.77 559.25 c
485.77 560.641 484.641 561.769 483.25 561.769 c
481.858 561.769 480.73 560.641 480.73 559.25 c
480.73 557.858 481.858 556.73 483.25 556.73 c
b
483.25 559.25 m
B
U
u
447.25 574.23 m
448.641 574.23 449.77 575.358 449.77 576.75 c
449.77 578.141 448.641 579.269 447.25 579.269 c
445.858 579.269 444.73 578.141 444.73 576.75 c
444.73 575.358 445.858 574.23 447.25 574.23 c
b
447.25 576.75 m
B
U
u
411.75 510.23 m
413.141 510.23 414.27 511.358 414.27 512.75 c
414.27 514.141 413.141 515.269 411.75 515.269 c
410.358 515.269 409.23 514.141 409.23 512.75 c
409.23 511.358 410.358 510.23 411.75 510.23 c
b
411.75 512.75 m
B
U
411.27 593.75 m
411.27 503.75 l
B
447.27 594.25 m
447.27 503.75 l
B
483.27 594.25 m
483.27 503.75 l
B
[3 2 ]0 d
447.25 576.75 m
483.25 559.25 l
S
446.75 532.25 m
411.75 513.25 l
S
u
0 O
0 g
[]0 d
302.289 512.73 m
303.681 512.73 304.809 513.858 304.809 515.25 c
304.809 516.641 303.681 517.769 302.289 517.769 c
300.898 517.769 299.77 516.641 299.77 515.25 c
299.77 513.858 300.898 512.73 302.289 512.73 c
b
302.289 515.25 m
B
U
[3 2 ]0 d
266.27 532.25 m
301.789 515.25 l
S
157.25 556.75 m
193.25 574.25 l
S
u
0 O
0 g
[]0 d
196.7605 420.98 m
198.1515 420.98 199.2795 422.108 199.2795 423.5 c
199.2795 424.891 198.1515 426.019 196.7605 426.019 c
195.3685 426.019 194.2405 424.891 194.2405 423.5 c
194.2405 422.108 195.3685 420.98 196.7605 420.98 c
b
U
u
161.2605 436.48 m
162.6515 436.48 163.7795 437.608 163.7795 439 c
163.7795 440.391 162.6515 441.519 161.2605 441.519 c
159.8685 441.519 158.7405 440.391 158.7405 439 c
158.7405 437.608 159.8685 436.48 161.2605 436.48 c
b
U
[3 2 ]0 d
161.2605 438.5 m
196.7605 423 l
S
u
0 O
0 g
[]0 d
160.2405 366.48 m
161.6315 366.48 162.7605 367.608 162.7605 369 c
162.7605 370.391 161.6315 371.519 160.2405 371.519 c
158.8485 371.519 157.7205 370.391 157.7205 369 c
157.7205 367.608 158.8485 366.48 160.2405 366.48 c
b
U
124.7605 449 m
124.7605 359 l
B
160.771 449.5 m
160.771 359 l
B
196.7605 449.5 m
196.7605 359 l
B
u
125.2795 382.98 m
126.6715 382.98 127.7995 384.108 127.7995 385.5 c
127.7995 386.891 126.6715 388.019 125.2795 388.019 c
123.8885 388.019 122.7605 386.891 122.7605 385.5 c
122.7605 384.108 123.8885 382.98 125.2795 382.98 c
b
125.2795 385.5 m
B
U
[3 2 ]0 d
125.2795 385.5 m
160.7795 369 l
S
u
0 O
0 g
[]0 d
126.0095 289.23 m
124.6185 289.23 123.4905 290.358 123.4905 291.75 c
123.4905 293.141 124.6185 294.269 126.0095 294.269 c
127.4015 294.269 128.5295 293.141 128.5295 291.75 c
128.5295 290.358 127.4015 289.23 126.0095 289.23 c
b
126.0095 291.75 m
B
U
u
171.0095 272.73 m
169.6185 272.73 168.4905 273.858 168.4905 275.25 c
168.4905 276.641 169.6185 277.769 171.0095 277.769 c
172.4015 277.769 173.5295 276.641 173.5295 275.25 c
173.5295 273.858 172.4015 272.73 171.0095 272.73 c
b
171.0095 275.25 m
B
U
u
179.5095 251.73 m
178.1185 251.73 176.9905 252.858 176.9905 254.25 c
176.9905 255.641 178.1185 256.769 179.5095 256.769 c
180.9015 256.769 182.0295 255.641 182.0295 254.25 c
182.0295 252.858 180.9015 251.73 179.5095 251.73 c
b
179.5095 254.25 m
B
U
161.5095 300.75 m
197.5095 210.25 l
B
197.5095 300.25 m
161.5095 210.25 l
B
125.5095 300.75 m
125.5095 210.25 l
B
[3 2 ]0 d
171.0095 275.25 m
126.0095 291.75 l
S
0 O
0 g
[]0 d
462.5 302.5 m
426 210.5 l
B
0 To
1 0 0 1 94 149 0 Tp
TP
0 Tr
/_Times-Roman 12 Tf
0 Ts
100 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
14.5 0 Tl
0 Tc
0 Tw
(Fig 3.  Reducible connected three-nucleon graphs.  The corrections in these
grap) Tx
(hs \r) Tx
T*
(due to nucleon kinetic energies in the energy denominators for the
intermediate ) Tx
(\r) Tx
T*
(states containing pions cancel the graphs of Fig. 2. ) Tx
(\r) TX
TO
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_cmykcolor /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF
%
%%%%%%Here starts the figure4:  %
%!PS-Adobe-3.0 EPSF-3.0
%%Creator: Adobe Illustrator(TM) 3.2
%%For: (WEINTECH) (THEORY GROUP)
%%Title: (swfig4X92.psf)
%%CreationDate: (9/11/92) (5:50 PM)
%%BoundingBox: 71 35 842 973
%%DocumentProcessColors: Black
%%DocumentFonts: CMR12
%%+ Times-Roman
%%DocumentSuppliedResources: procset Adobe_packedarray 2.0 0
%%+ procset Adobe_cmykcolor 1.1 0
%%+ procset Adobe_cshow 1.1 0
%%+ procset Adobe_customcolor 1.0 0
%%+ procset Adobe_typography_AI3 1.0 1
%%+ procset Adobe_IllustratorA_AI3 1.0 1
%AI3_ColorUsage: Black&White
%AI3_TemplateBox: 306 396 306 396
%AI3_TileBox: 30 31 582 761
%AI3_DocumentPreview: Macintosh_ColorPic
%%EndComments
%%BeginProlog
%%BeginResource: procset Adobe_packedarray 2.0 0
%%Title: (Packed Array Operators)
%%Version: 2.0
%%CreationDate: (8/2/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
userdict /Adobe_packedarray 5 dict dup begin put
/initialize			% - initialize -
{
/packedarray where
	{
	pop
	}
	{
	Adobe_packedarray begin
	Adobe_packedarray
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/packedarray		% arguments count packedarray array
{
array astore readonly
} def
/setpacking			% boolean setpacking -
{
pop
} def
/currentpacking		% - setpacking boolean
{
false
} def
currentdict readonly pop end
%%EndResource
Adobe_packedarray /initialize get exec
%%BeginResource: procset Adobe_cmykcolor 1.1 0
%%Title: (CMYK Color Operators)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cmykcolor 4 dict dup begin put
/initialize			% - initialize -
{
/setcmykcolor where
	{
	pop
	}
	{
	userdict /Adobe_cmykcolor_vars 2 dict dup begin put
	/_setrgbcolor
		/setrgbcolor load def
	/_currentrgbcolor
		/currentrgbcolor load def
	Adobe_cmykcolor begin
	Adobe_cmykcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	end
	Adobe_cmykcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_cmykcolor eq
	{
	end
	} if
} def
/setcmykcolor		% cyan magenta yellow black setcmykcolor -
{
1 sub 4 1 roll
3
	{
	3 index add neg dup 0 lt
		{
		pop 0
		} if
	3 1 roll
	} repeat
Adobe_cmykcolor_vars /_setrgbcolor get exec
pop
} def
/currentcmykcolor	% - currentcmykcolor cyan magenta yellow black
{
Adobe_cmykcolor_vars /_currentrgbcolor get exec
3
	{
	1 sub neg 3 1 roll
	} repeat
0
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 1.1 0
%%Title: (cshow Operator)
%%Version: 1.1
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 3 dict dup begin put
/initialize			% - initialize -
{
/cshow where
	{
	pop
	}
	{
	userdict /Adobe_cshow_vars 1 dict dup begin put
	/_cshow		% - _cshow proc
		{} def
	Adobe_cshow begin
	Adobe_cshow
		{
		dup xcheck
			{
			bind
			} if
		userdict 3 1 roll put
		} forall
	end
	end
	} ifelse
} def
/terminate			% - terminate -
{
} def
/cshow				% proc string cshow -
{
exch
Adobe_cshow_vars
	exch /_cshow
	exch put
	{
	0 0 Adobe_cshow_vars /_cshow get exec
	} forall
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_customcolor 1.0 0
%%Title: (Custom Color Operators)
%%Version: 1.0
%%CreationDate: (5/9/88) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_customcolor 5 dict dup begin put
/initialize			% - initialize -
{
/setcustomcolor where
	{
	pop
	}
	{
	Adobe_customcolor begin
	Adobe_customcolor
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_customcolor begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_customcolor eq
	{
	end
	} if
} def
/findcmykcustomcolor	% cyan magenta yellow black name findcmykcustomcolor
% object
{
5 packedarray
}  def
/setcustomcolor		% object tint setcustomcolor -
{
exch
aload pop pop
4
	{
	4 index mul 4 1 roll
	} repeat
5 -1 roll pop
setcmykcolor
} def
/setoverprint		% boolean setoverprint -
{
pop
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_typography_AI3 1.1 0
%%Title: (Typography Operators)
%%Version: 1.0
%%CreationDate:(5/31/90) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_typography_AI3 47 dict dup begin put
/initialize			% - initialize -
{
/TZ
 where
	{
	pop
	}
	{
	Adobe_typography_AI3 begin
	Adobe_typography_AI3
		{
		dup xcheck
			{
			bind
			} if
		pop pop
		} forall
	end
	Adobe_typography_AI3 begin
	} ifelse
} def
/terminate			% - terminate -
{
currentdict Adobe_typography_AI3 eq
	{
	end
	} if
} def
% [ number value stream [ array for encoding modification ] modifyEncoding ==>
% [ modified array ]
/modifyEncoding
{
	/_tempEncode exch ddef

	% pointer for sequential encodings
	/_pntr 0 ddef

	{
		% get bottom object
		counttomark -1 roll
		% is it a mark ?
		dup type dup /marktype eq
		{
			% exit
			pop pop exit
		}
		{
			% ... object ... type ....
			% insert if a nametype
			/nametype eq
			{
				% insert the name at _pntr and increment pointer
				_tempEncode /_pntr dup load dup 3 1 roll 1 add ddef 3 -1 roll
				put
			}
			{
				% reset _pntr if it's a number
				/_pntr exch ddef
			}
			ifelse
		}
		ifelse
	}
	loop

	% return the modified encoding
	_tempEncode
}
def
/TE	% Set std platform encoding 	% (encoding pairs) TE -
{
	StandardEncoding 256 array copy modifyEncoding
	/_nativeEncoding exch def
} def
% re-define font
% expected arguments
% for 'normal fonts :
% [ /_Helvetica-Bold/Helvetica-Bold direction fontScript defaultEncoding TZ
%
% for cartographic, pictographic, and expert fonts :
% [ ... number value stream ... /_Symbol/Symbol
%	direction fontScript defaultEncoding TZ
% for blended fonts w/ default encoding :
% [ /_AdobeSans_20ULig1XCond-Bold/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
% for blended fonts w/ special encoding :
% [ ... number value stream ... /_AdobeSans_20ULig1XCond/AdobeSans
%	direction fontScript defaultEncoding [ w0 w1 ... wn ] TZ
/TZ
{
	% set weight vector (if present)
	dup type /arraytype eq {/_wv exch def} {/_wv 0 def} ifelse
	% platform dependent coding flag
	/_useNativeEncoding exch def
	% pop fontScript & direction
	pop pop

	% create a new dictionary with length
	% equal to original dictionary length + 2
	% copy all the key/value pairs except FID
	% call makeblended font with the weight values if _wv is an array
	findfont _wv type /arraytype eq {_wv makeblendedfont} if dup length 2 add dict

	begin

		% copy all the values but the FID
		% into the new dictionary
		mark exch
		{
			1 index /FID ne { def } if cleartomark mark
		}
		forall
		% discard last mark
		pop

		% define FontName
		/FontName exch def

		% if no re-encoding stream is present
		% then if the base encoding vector of the font
		% is the same as StandardEncoding
		% and the use platform encoding flag is true
		% then install AI platform encoding
		% else leave the base encoding in effect
		counttomark 0 eq
		{
			1 _useNativeEncoding eq
			{
				/Encoding _nativeEncoding def
			}
			if
			% clean up
			cleartomark
		}
		{
			% custom encoding to be done
			% start off with a copy of the font's standard encoding
			/Encoding load 256 array copy
			modifyEncoding /Encoding exch def
		}
		ifelse
		FontName currentdict
	end

	% register the new font
	definefont pop
}
def
% text painting operators
/tr					% string tr ax ay string
{
_ax _ay 3 2 roll
} def
/trj				% string trj cx cy fillchar ax ay string
{
_cx _cy _sp _ax _ay 6 5 roll
} def
/a0
{
/Tx	% text							% textString Tx -
	{
	dup
	currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup
	currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	} ddef

} def
/a1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	tr _psf
	newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	dup currentpoint 3 2 roll
	trj _pjsf
	newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef

} def
/e0
{
/Tx	% text							% textString Tx -
	{
	tr _psf
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _pjsf
	} ddef
} def
/e1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll gsave
	tr _psf
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll gsave
	trj _pjsf
	grestore 3 1 roll moveto tr sp
	} ddef
} def
/i0
{
/Tx	% text							% textString Tx -
	{
	tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj jsp
	} ddef
} def
/i1
{
W N
} def
/o0
{
/Tx	% text							% textString Tx -
	{
	tr sw rmoveto
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj swj rmoveto
	} ddef
} def
/r0
{
/Tx	% text							% textString Tx -
	{
	tr _ctm _pss
	} ddef
/Tj	% justified text				% textString Tj -
	{
	trj _ctm _pjss
	} ddef
} def
/r1
{
/Tx	% text							% textString Tx -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	tr _ctm _pss
	grestore 3 1 roll moveto tr sp
	} ddef
/Tj	% justified text				% textString Tj -
	{
	dup currentpoint 4 2 roll currentpoint gsave newpath moveto
	trj _ctm _pjss
	grestore 3 1 roll moveto tr sp
	} ddef
} def
% font operators
% Binding
/To	% begin text 					% bindType To -
{
	pop _ctm currentmatrix pop
} def
/TO	% end text					% TO -
{
	Te _ctm setmatrix newpath
} def
% Text paths
/Tp	% begin text path				% a b c d tx ty startPt Tp -
{
	pop _tm astore pop _ctm setmatrix
	_tDict begin /W {} def /h {} def
} def
/TP	% end text path					% TP -
{
	end
	iTm 0 0 moveto
} def
% Render mode & matrix operators
/Tr	% begin render					% render Tr -
{
	_render 3 le {currentpoint newpath moveto} if
	dup 8 eq {pop 0} {dup 9 eq {pop 1} if} ifelse
	dup /_render exch ddef
	_renderStart exch get load exec
} def
/iTm % internal set text matrix		% - iTm -	(uses _tm as implicit argument)
{
_ctm setmatrix _tm concat 0 _rise translate _hs 1 scale
} def
/Tm % set text matrix				% a b c d tx ty Tm -
{
_tm astore pop iTm 0 0 moveto
} def
/Td % translate text matrix 		% tx ty Td -
{
_mtx translate _tm _tm concatmatrix pop iTm 0 0 moveto
} def
/Te	% end render					% - Te -
{
	_render -1 eq {} {_renderEnd _render get dup null ne {load exec} {pop} ifelse}
ifelse
	/_render -1 ddef
} def
% Attributes
/Ta	% set alignment					% alignment Ta -
{
pop
} def
/Tf	% set font name and size		% fontname size Tf -
{
dup 1000 div /_fScl exch ddef
exch findfont exch scalefont setfont
} def
/Tl	% set leading					% leading paragraphLeading Tl -
{
pop
0 exch _leading astore pop
} def
/Tt	% set user tracking				% userTracking Tt -
{
pop
} def
/TW % set word spacing				% minSpace optSpace maxSpace TW -
{
3 npop
} def
/Tw	% set computed word spacing		% wordSpace Tw
{
/_cx exch ddef
} def
/TC % set character spacing			% minSpace optSpace maxSpace TC -
{
3 npop
} def
/Tc	% set computed char spacing 	% charSpace Tc -
{
/_ax exch ddef
} def
/Ts % set super/subscripting (rise)	% rise Ts -
{
/_rise exch ddef
currentpoint
iTm
moveto
} def
/Ti	% set indentation				% firstStartIndent otherStartIndent stopIndent Ti -
{
3 npop
} def
/Tz % set horizontal scaling		% scalePercent Tz -
{
100 div /_hs exch ddef
iTm
} def
/TA % set pairwise kerning			% autoKern TA -
									%	autoKern = 0 -> no pair kerning
									%			 = 1 -> automatic pair kerning
{
pop
} def
/Tq % set hanging quotes			% hangingQuotes Tq -
									%	hangingQuotes 	= 0 -> no hanging quotes
									%			 		= 1 -> hanging quotes
{
pop
} def
% Text Bodies
/TX {pop} def
%/Tx	% non-justified text			% textString Tx -
%/Tj	% justified text				% textString Tj -
/Tk	% kern							% autoKern kernValue Tk -
									%  	autoKern = 0 -> manual kern, = 1 -> auto kern
									%	kernValue = kern value in em/1000 space
{
exch pop _fScl mul neg 0 rmoveto
} def
/TK	% non-printing kern				% autoKern kernValue TK -
{
2 npop
} def
/T* % carriage return & line feed	% - T* -
{
_leading aload pop neg Td
} def
/T*- % carriage return & negative line feed	% - T*- -
{
_leading aload pop Td
} def
/T-	% print a discretionary hyphen	% - T- -
{
_hyphen Tx
} def
/T+	% discretionary hyphen hyphen	% - T+ -
{} def
/TR	% reset pattern matrix 			% a b c d tx ty TR -
{
_ctm currentmatrix pop
_tm astore pop
iTm 0 0 moveto
} def
/TS	% special chars					% textString justified TS -
{
0 eq {Tx} {Tj} ifelse
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_IllustratorA_AI3 1.0 2
%%Title: (Adobe Illustrator (R) Version 3.0 Abbreviated Prolog)
%%Version: 1.0
%%CreationDate: (7/22/89) ()
%%Copyright: ((C) 1987-1990 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_IllustratorA_AI3 61 dict dup begin put
% initialization
/initialize				% - initialize -
{
% 47 vars, but leave slack of 10 entries for custom Postscript fragments
userdict /Adobe_IllustratorA_AI3_vars 57 dict dup begin put
% paint operands
/_lp /none def
/_pf {} def
/_ps {} def
/_psf {} def
/_pss {} def
/_pjsf {} def
/_pjss {} def
/_pola 0 def
/_doClip 0 def
% paint operators
/cf	currentflat def	% - cf flatness
% typography operands
/_tm matrix def
/_renderStart [/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0] def
/_renderEnd [null null null null /i1 /i1 /i1 /i1] def
/_render -1 def
/_rise 0 def
/_ax 0 def			% x character spacing	(_ax, _ay, _cx, _cy follows awidthshow
% naming convention)
/_ay 0 def			% y character spacing
/_cx 0 def			% x word spacing
/_cy 0 def			% y word spacing
/_leading [0 0] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fScl 0 def
/_cnt 0 def
/_hs 1 def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
% typography operators
/Tx {} def
/Tj {} def
% compound path operators
/CRender {} def
% printing
/_AI3_savepage {} def
% color operands
/_gf null def
/_cf 4 array def
/_if null def
/_of false def
/_fc {} def
/_gs null def
/_cs 4 array def
/_is null def
/_os false def
/_sc {} def
/_i null def
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3
	{
	dup xcheck
		{
		bind
		} if
	pop pop
	} forall
end
end
Adobe_IllustratorA_AI3 begin
Adobe_IllustratorA_AI3_vars begin
newpath
} def
/terminate				% - terminate -
{
end
end
} def
% definition operators
/_					% - _ null
null def
/ddef				% key value ddef -
{
Adobe_IllustratorA_AI3_vars 3 1 roll put
} def
/xput				% key value literal xput -
{
dup load dup length exch maxlength eq
	{
	dup dup load dup
	length 2 mul dict copy def
	} if
load begin def end
} def
/npop				% integer npop -
{
	{
	pop
	} repeat
} def
% marking operators
/sw					% ax ay string sw x y
{
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
} def
/swj				% cx cy fillchar ax ay string swj x y
{
dup 4 1 roll
dup length exch stringwidth
exch 5 -1 roll 3 index 1 sub mul add
4 1 roll 3 1 roll 1 sub mul add
6 2 roll /_cnt 0 ddef
{1 index eq {/_cnt _cnt 1 add ddef} if} forall pop
exch _cnt mul exch _cnt mul 2 index add 4 1 roll 2 index add 4 1 roll pop pop
} def
/ss					% ax ay string matrix ss -
{
4 1 roll
	{				% matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put pop
	gsave
	false charpath currentpoint
	4 index setmatrix
	stroke
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
3 npop
} def
/jss				% cx cy fillchar ax ay string matrix jss -
{
4 1 roll
	{				% cx cy fillchar matrix ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	gsave
	_sp eq
		{
		exch 6 index 6 index 6 index 5 -1 roll widthshow
		currentpoint
		}
		{
		false charpath currentpoint
		4 index setmatrix stroke
		}ifelse
	grestore
	moveto
	2 copy rmoveto
	} exch cshow
6 npop
} def
% path operators
/sp					% ax ay string sp -
{
	{
	2 npop (0) exch
	2 copy 0 exch put pop
	false charpath
	2 copy rmoveto
	} exch cshow
2 npop
} def
/jsp					% cx cy fillchar ax ay string jsp -
{
	{					% cx cy fillchar ax ay char 0 0 {proc} -
	2 npop
	(0) exch 2 copy 0 exch put
	_sp eq
		{
		exch 5 index 5 index 5 index 5 -1 roll widthshow
		}
		{
		false charpath
		}ifelse
	2 copy rmoveto
	} exch cshow
5 npop
} def
% path construction operators
/pl				% x y pl x y
{
transform
0.25 sub round 0.25 add exch
0.25 sub round 0.25 add exch
itransform
} def
/setstrokeadjust where
	{
	pop true setstrokeadjust
	/c				% x1 y1 x2 y2 x3 y3 c -
	{
	curveto
	} def
	/C
	/c load def
	/v				% x2 y2 x3 y3 v -
	{
	currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y				% x1 y1 x2 y2 y -
	{
	2 copy curveto
	} def
	/Y
	/y load def
	/l				% x y l -
	{
	lineto
	} def
	/L
	/l load def
	/m				% x y m -
	{
	moveto
	} def
	}
	{%else
	/c
	{
	pl curveto
	} def
	/C
	/c load def
	/v
	{
	currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
	pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
	pl lineto
	} def
	/L
	/l load def
	/m
	{
	pl moveto
	} def
	}ifelse
% graphic state operators
/d					% array phase d -
{
setdash
} def
/cf	{} def			% - cf flatness
/i					% flatness i -
{
dup 0 eq
	{
	pop cf
	} if
setflat
} def
/j					% linejoin j -
{
setlinejoin
} def
/J					% linecap J -
{
setlinecap
} def
/M					% miterlimit M -
{
setmiterlimit
} def
/w					% linewidth w -
{
setlinewidth
} def
% path painting operators
/H					% - H -
{} def
/h					% - h -
{
closepath
} def
/N					% - N -
{
_pola 0 eq
	{
	_doClip 1 eq {clip /_doClip 0 ddef} if
	newpath
	}
	{
	/CRender {N} ddef
	}ifelse
} def
/n					% - n -
{N} def
/F					% - F -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _pf grestore clip newpath /_lp /none ddef _fc
		/_doClip 0 ddef
		}
		{
		_pf
		}ifelse
	}
	{
	/CRender {F} ddef
	}ifelse
} def
/f					% - f -
{
closepath
F
} def
/S					% - S -
{
_pola 0 eq
	{
	_doClip 1 eq
		{
		gsave _ps grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		_ps
		}ifelse
	}
	{
	/CRender {S} ddef
	}ifelse
} def
/s					% - s -
{
closepath
S
} def
/B					% - B -
{
_pola 0 eq
	{
	_doClip 1 eq 	% F clears _doClip
	gsave F grestore
		{
		gsave S grestore clip newpath /_lp /none ddef _sc
		/_doClip 0 ddef
		}
		{
		S
		}ifelse
	}
	{
	/CRender {B} ddef
	}ifelse
} def
/b					% - b -
{
closepath
B
} def
/W					% - W -
{
/_doClip 1 ddef
} def
/*					% - [string] * -
{
count 0 ne
	{
	dup type (stringtype) eq {pop} if
	} if
_pola 0 eq {newpath} if
} def
% group operators
/u					% - u -
{} def
/U					% - U -
{} def
/q					% - q -
{
_pola 0 eq {gsave} if
} def
/Q					% - Q -
{
_pola 0 eq {grestore} if
} def
/*u					% - *u -
{
_pola 1 add /_pola exch ddef
} def
/*U					% - *U -
{
_pola 1 sub /_pola exch ddef
_pola 0 eq {CRender} if
} def
/D					% polarized D -
{pop} def
/*w					% - *w -
{} def
/*W					% - *W -
{} def
% place operators
/`					% matrix llx lly urx ury string ` -
{
/_i save ddef
6 1 roll 4 npop
concat pop
userdict begin
/showpage {} def
0 setgray
0 setlinecap
1 setlinewidth
0 setlinejoin
10 setmiterlimit
[] 0 setdash
newpath
0 setgray
false setoverprint
} def
/~					% - ~ -
{
end
_i restore
} def
% color operators
/O					% flag O -
{
0 ne
/_of exch ddef
/_lp /none ddef
} def
/R					% flag R -
{
0 ne
/_os exch ddef
/_lp /none ddef
} def
/g					% gray g -
{
/_gf exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_gf setgray
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/G					% gray G -
{
/_gs exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_gs setgray
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/k					% cyan magenta yellow black k -
{
_cf astore pop
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_cf aload pop setcmykcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/K					% cyan magenta yellow black K -
{
_cs astore pop
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_cs aload pop setcmykcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
/x					% cyan magenta yellow black name gray x -
{
/_gf exch ddef
findcmykcustomcolor
/_if exch ddef
/_fc
{
_lp /fill ne
	{
	_of setoverprint
	_if _gf 1 exch sub setcustomcolor
	/_lp /fill ddef
	} if
} ddef
/_pf
{
_fc
fill
} ddef
/_psf
{
_fc
ashow
} ddef
/_pjsf
{
_fc
awidthshow
} ddef
/_lp /none ddef
} def
/X					% cyan magenta yellow black name gray X -
{
/_gs exch ddef
findcmykcustomcolor
/_is exch ddef
/_sc
{
_lp /stroke ne
	{
	_os setoverprint
	_is _gs 1 exch sub setcustomcolor
	/_lp /stroke ddef
	} if
} ddef
/_ps
{
_sc
stroke
} ddef
/_pss
{
_sc
ss
} ddef
/_pjss
{
_sc
jss
} ddef
/_lp /none ddef
} def
% locked object operator
/A					% value A -
{
pop
} def
currentdict readonly pop end
setpacking
% annotate page operator
/annotatepage
{
} def
%%EndResource
%%EndProlog
%%BeginSetup
%%IncludeFont: CMR12
%%IncludeFont: Times-Roman
Adobe_cmykcolor /initialize get exec
Adobe_cshow /initialize get exec
Adobe_customcolor /initialize get exec
Adobe_typography_AI3 /initialize get exec
Adobe_IllustratorA_AI3 /initialize get exec
[
39/quotesingle 96/grave 128/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis
/Udieresis/aacute/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute
/egrave/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde
/oacute/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex
/udieresis/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls
/registered/copyright/trademark/acute/dieresis/.notdef/AE/Oslash
/.notdef/plusminus/.notdef/.notdef/yen/mu/.notdef/.notdef
/.notdef/.notdef/.notdef/ordfeminine/ordmasculine/.notdef/ae/oslash
/questiondown/exclamdown/logicalnot/.notdef/florin/.notdef/.notdef
/guillemotleft/guillemotright/ellipsis/.notdef/Agrave/Atilde/Otilde/OE/oe
/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide
/.notdef/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright
/fi/fl/daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand
/Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex
/Idieresis/Igrave/Oacute/Ocircumflex/.notdef/Ograve/Uacute/Ucircumflex
/Ugrave/dotlessi/circumflex/tilde/macron/breve/dotaccent/ring/cedilla
/hungarumlaut/ogonek/caron
TE
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835.9888 956.3237 m
834.5978 956.3237 833.4698 957.4517 833.4698 958.8437 c
833.4698 960.2347 834.5978 961.3627 835.9888 961.3627 c
837.3808 961.3627 838.5088 960.2347 838.5088 958.8437 c
838.5088 957.4517 837.3808 956.3237 835.9888 956.3237 c
b
835.9888 958.8437 m
B
U
[3 2 ]0 d
430.4888 896.8437 m
387.4888 950.8437 l
S
547.9888 958.8437 m
533.0088 896.8437 l
S
0 O
0 g
[]0 d
193 262.5 m
193 352.5 l
B
247 263.5 m
247 353.5 l
B
346 262.5 m
346 352.5 l
B
400 263.5 m
400 353.5 l
B
192.5 146.5 m
192.5 236.5 l
B
246.5 147.5 m
246.5 237.5 l
B
345.5 146.5 m
345.5 236.5 l
B
399.5 147.5 m
399.5 237.5 l
B
107.5 384.5 m
107.5 474.5 l
B
161.5 385.5 m
161.5 475.5 l
B
270.5 384.5 m
270.5 474.5 l
B
324.5 385.5 m
324.5 475.5 l
B
108.5 522.5 m
108.5 612.5 l
B
162.5 523.5 m
162.5 613.5 l
B
269.5 522.5 m
269.5 612.5 l
B
323.5 523.5 m
323.5 613.5 l
B
107.5 647.5 m
107.5 737.5 l
B
161.5 648.5 m
161.5 738.5 l
B
269.5 647.5 m
269.5 737.5 l
B
323.5 648.5 m
323.5 738.5 l
B
u
454 565.23 m
452.609 565.23 451.481 566.358 451.481 567.75 c
451.481 569.141 452.609 570.269 454 570.269 c
455.392 570.269 456.52 569.141 456.52 567.75 c
456.52 566.358 455.392 565.23 454 565.23 c
b
454 567.75 m
B
U
436 613.25 m
472 522.75 l
B
472 612.75 m
436 522.75 l
B
[3 3 ]0 d
74 665 m
198 725 l
S
0 To
1 0 0 1 197 693 0 Tp
TP
0 Tr
0 O
0 g
[]0 d
/_CMR12 12 Tf
0 Ts
100 Tz
0 Tt
0 TA
0 0 5 TC
100 100 200 TW
0 0 0 Ti
0 Ta
0 Tq
0 0 Tl
0 Tc
0 Tw
(+ . . .) Tx
(\r) TX
TO
u
0 R
0 G
107.9995 678.4805 m
106.6085 678.4805 105.4805 679.6085 105.4805 681.0005 c
105.4805 682.3915 106.6085 683.5195 107.9995 683.5195 c
109.3915 683.5195 110.5195 682.3915 110.5195 681.0005 c
110.5195 679.6085 109.3915 678.4805 107.9995 678.4805 c
b
107.9995 681.0005 m
B
U
u
270.0125 661.4538 m
268.6215 661.4538 267.4935 662.5818 267.4935 663.9738 c
267.4935 665.3648 268.6215 666.4928 270.0125 666.4928 c
271.4045 666.4928 272.5325 665.3648 272.5325 663.9738 c
272.5325 662.5818 271.4045 661.4538 270.0125 661.4538 c
b
270.0125 663.9738 m
B
U
u
324 692.48 m
322.609 692.48 321.481 693.608 321.481 695 c
321.481 696.391 322.609 697.519 324 697.519 c
325.392 697.519 326.52 696.391 326.52 695 c
326.52 693.608 325.392 692.48 324 692.48 c
b
324 695 m
B
U
u
345.4995 190.9605 m
344.1085 190.9605 342.9805 192.0885 342.9805 193.4805 c
342.9805 194.8715 344.1085 195.9995 345.4995 195.9995 c
346.8915 195.9995 348.0195 194.8715 348.0195 193.4805 c
348.0195 192.0885 346.8915 190.9605 345.4995 190.9605 c
b
345.4995 193.4805 m
B
U
u
345.5 215.98 m
344.109 215.98 342.981 217.108 342.981 218.5 c
342.981 219.891 344.109 221.019 345.5 221.019 c
346.892 221.019 348.02 219.891 348.02 218.5 c
348.02 217.108 346.892 215.98 345.5 215.98 c
b
345.5 218.5 m
B
U
u
486.4995 702.9805 m
485.1085 702.9805 483.9805 704.1085 483.9805 705.5005 c
483.9805 706.8915 485.1085 708.0195 486.4995 708.0195 c
487.8915 708.0195 489.0195 706.8915 489.0195 705.5005 c
489.0195 704.1085 487.8915 702.9805 486.4995 702.9805 c
b
486.4995 705.5005 m
B
U
u
323.5 540 m
322.109 540 320.981 541.128 320.981 542.52 c
320.981 543.911 322.109 545.039 323.5 545.039 c
324.892 545.039 326.02 543.911 326.02 542.52 c
326.02 541.128 324.892 540 323.5 540 c
b
323.5 542.52 m
B
U
u
162.9995 565.9805 m
161.6085 565.9805 160.4805 567.1085 160.4805 568.5005 c
160.4805 569.8915 161.6085 571.0195 162.9995 571.0195 c
164.3915 571.0195 165.5195 569.8915 165.5195 568.5005 c
165.5195 567.1085 164.3915 565.9805 162.9995 565.9805 c
b
162.9995 568.5005 m
B
U
u
324.0105 566.73 m
325.4015 566.73 326.5295 567.858 326.5295 569.25 c
326.5295 570.641 325.4015 571.769 324.0105 571.769 c
322.6185 571.769 321.4905 570.641 321.4905 569.25 c
321.4905 567.858 322.6185 566.73 324.0105 566.73 c
b
U
u
413.9905 676.73 m
415.3815 676.73 416.5105 677.858 416.5105 679.25 c
416.5105 680.641 415.3815 681.769 413.9905 681.769 c
412.5985 681.769 411.4705 680.641 411.4705 679.25 c
411.4705 677.858 412.5985 676.73 413.9905 676.73 c
b
U
414.0105 737.75 m
414.0105 647.75 l
B
[3 3 ]0 d
450.0105 738.25 m
450.0105 647.75 l
S
0 O
0 g
[]0 d
486.0105 738.25 m
486.0105 647.75 l
B
u
450.5295 689.73 m
451.9215 689.73 453.0495 690.858 453.0495 692.25 c
453.0495 693.641 451.9215 694.769 450.5295 694.769 c
449.1385 694.769 448.0105 693.641 448.0105 692.25 c
448.0105 690.858 449.1385 689.73 450.5295 689.73 c
b
450.5295 692.25 m
B
U
[3 2 ]0 d
414.5105 679.25 m
486.5295 706.25 l
S
[3 3 ]0 d
270.0125 663.9738 m
323.4674 694.9293 l
S
0 To
1 0 0 1 360.1645 691.0391 0 Tp
TP
0 Tr
0 O
0 g
[]0 d
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 505.1645 693.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 272.1645 309.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
u
0 R
0 G
456.745 428.23 m
455.354 428.23 454.226 429.358 454.226 430.75 c
454.226 432.141 455.354 433.269 456.745 433.269 c
458.137 433.269 459.265 432.141 459.265 430.75 c
459.265 429.358 458.137 428.23 456.745 428.23 c
b
456.745 430.75 m
B
U
438.745 476.25 m
474.745 385.75 l
B
474.745 475.75 m
438.745 385.75 l
B
u
467.7445 400.4805 m
466.3535 400.4805 465.2255 401.6085 465.2255 403.0005 c
465.2255 404.3915 466.3535 405.5195 467.7445 405.5195 c
469.1365 405.5195 470.2645 404.3915 470.2645 403.0005 c
470.2645 401.6085 469.1365 400.4805 467.7445 400.4805 c
b
467.7445 403.0005 m
B
U
u
467.7555 456.23 m
469.1465 456.23 470.2745 457.358 470.2745 458.75 c
470.2745 460.141 469.1465 461.269 467.7555 461.269 c
466.3635 461.269 465.2355 460.141 465.2355 458.75 c
465.2355 457.358 466.3635 456.23 467.7555 456.23 c
b
U
u
u
[3 3 ]0 d
162.7309 568.3537 m
199.5928 542.5427 l
S
U
u
162.9343 568.4951 m
199.7961 594.3061 l
S
U
U
u
u
323.4674 569.4293 m
360.3293 543.6183 l
S
U
u
323.6707 569.5707 m
360.5326 595.3817 l
S
U
U
u
u
454.4674 567.4293 m
491.3293 541.6183 l
S
U
u
454.6707 567.5707 m
491.5326 593.3817 l
S
U
U
u
u
323.4674 694.9293 m
360.3293 669.1183 l
S
U
u
323.6707 695.0707 m
360.5326 720.8817 l
S
U
U
109 544 m
162.5 593.5 l
S
u
0 O
0 g
[]0 d
109 541.48 m
107.609 541.48 106.481 542.608 106.481 544 c
106.481 545.391 107.609 546.519 109 546.519 c
110.392 546.519 111.52 545.391 111.52 544 c
111.52 542.608 110.392 541.48 109 541.48 c
b
109 544 m
B
U
u
162.5 590.98 m
161.109 590.98 159.981 592.108 159.981 593.5 c
159.981 594.891 161.109 596.019 162.5 596.019 c
163.892 596.019 165.02 594.891 165.02 593.5 c
165.02 592.108 163.892 590.98 162.5 590.98 c
b
162.5 593.5 m
B
U
u
269.4995 589.9805 m
268.1085 589.9805 266.9805 591.1085 266.9805 592.5005 c
266.9805 593.8915 268.1085 595.0195 269.4995 595.0195 c
270.8915 595.0195 272.0195 593.8915 272.0195 592.5005 c
272.0195 591.1085 270.8915 589.9805 269.4995 589.9805 c
b
269.4995 592.5005 m
B
U
[3 3 ]0 d
269.5 594 m
323.5 541.5 l
S
492.9452 469.8323 m
468.4748 458.4215 l
S
492.4483 390.8417 m
467.9779 402.2525 l
S
349.7352 396.2946 m
325.2648 407.7054 l
S
349.7352 468.7054 m
325.2648 457.2946 l
S
u
0 O
0 g
[]0 d
324.4995 454.4805 m
323.1085 454.4805 321.9805 455.6085 321.9805 457.0005 c
321.9805 458.3915 323.1085 459.5195 324.4995 459.5195 c
325.8915 459.5195 327.0195 458.3915 327.0195 457.0005 c
327.0195 455.6085 325.8915 454.4805 324.4995 454.4805 c
b
324.4995 457.0005 m
B
U
u
324.4995 404.9805 m
323.1085 404.9805 321.9805 406.1085 321.9805 407.5005 c
321.9805 408.8915 323.1085 410.0195 324.4995 410.0195 c
325.8915 410.0195 327.0195 408.8915 327.0195 407.5005 c
327.0195 406.1085 325.8915 404.9805 324.4995 404.9805 c
b
324.4995 407.5005 m
B
U
[3 3 ]0 d
270.5 468.5 m
324 393.5 l
S
u
0 O
0 g
[]0 d
324.5 390.48 m
323.109 390.48 321.981 391.608 321.981 393 c
321.981 394.391 323.109 395.519 324.5 395.519 c
325.892 395.519 327.02 394.391 327.02 393 c
327.02 391.608 325.892 390.48 324.5 390.48 c
b
324.5 393 m
B
U
u
270.4995 464.9805 m
269.1085 464.9805 267.9805 466.1085 267.9805 467.5005 c
267.9805 468.8915 269.1085 470.0195 270.4995 470.0195 c
271.8915 470.0195 273.0195 468.8915 273.0195 467.5005 c
273.0195 466.1085 271.8915 464.9805 270.4995 464.9805 c
b
270.4995 467.5005 m
B
U
[3 3 ]0 d
107.5 394 m
161.5 466.5 l
S
u
0 O
0 g
[]0 d
107.4995 391.9805 m
106.1085 391.9805 104.9805 393.1085 104.9805 394.5005 c
104.9805 395.8915 106.1085 397.0195 107.4995 397.0195 c
108.8915 397.0195 110.0195 395.8915 110.0195 394.5005 c
110.0195 393.1085 108.8915 391.9805 107.4995 391.9805 c
b
107.4995 394.5005 m
B
U
u
161.5 463.98 m
160.109 463.98 158.981 465.108 158.981 466.5 c
158.981 467.891 160.109 469.019 161.5 469.019 c
162.892 469.019 164.02 467.891 164.02 466.5 c
164.02 465.108 162.892 463.98 161.5 463.98 c
b
161.5 466.5 m
B
U
u
161.9995 445.4805 m
160.6085 445.4805 159.4805 446.6085 159.4805 448.0005 c
159.4805 449.3915 160.6085 450.5195 161.9995 450.5195 c
163.3915 450.5195 164.5195 449.3915 164.5195 448.0005 c
164.5195 446.6085 163.3915 445.4805 161.9995 445.4805 c
b
161.9995 448.0005 m
B
U
u
161.4995 409.9805 m
160.1085 409.9805 158.9805 411.1085 158.9805 412.5005 c
158.9805 413.8915 160.1085 415.0195 161.4995 415.0195 c
162.8915 415.0195 164.0195 413.8915 164.0195 412.5005 c
164.0195 411.1085 162.8915 409.9805 161.4995 409.9805 c
b
161.4995 412.5005 m
B
U
[3 3 ]0 d
162.058 412.1453 m
186.5284 400.7345 l
S
163.6981 448.2796 m
188.1685 459.6904 l
S
u
0 O
0 g
[]0 d
246.9995 329.4805 m
245.6085 329.4805 244.4805 330.6085 244.4805 332.0005 c
244.4805 333.3915 245.6085 334.5195 246.9995 334.5195 c
248.3915 334.5195 249.5195 333.3915 249.5195 332.0005 c
249.5195 330.6085 248.3915 329.4805 246.9995 329.4805 c
b
246.9995 332.0005 m
B
U
u
246.9995 284.4805 m
245.6085 284.4805 244.4805 285.6085 244.4805 287.0005 c
244.4805 288.3915 245.6085 289.5195 246.9995 289.5195 c
248.3915 289.5195 249.5195 288.3915 249.5195 287.0005 c
249.5195 285.6085 248.3915 284.4805 246.9995 284.4805 c
b
246.9995 287.0005 m
B
U
u
192.9995 188.9805 m
191.6085 188.9805 190.4805 190.1085 190.4805 191.5005 c
190.4805 192.8915 191.6085 194.0195 192.9995 194.0195 c
194.3915 194.0195 195.5195 192.8915 195.5195 191.5005 c
195.5195 190.1085 194.3915 188.9805 192.9995 188.9805 c
b
192.9995 191.5005 m
B
U
u
192.9995 302.9805 m
191.6085 302.9805 190.4805 304.1085 190.4805 305.5005 c
190.4805 306.8915 191.6085 308.0195 192.9995 308.0195 c
194.3915 308.0195 195.5195 306.8915 195.5195 305.5005 c
195.5195 304.1085 194.3915 302.9805 192.9995 302.9805 c
b
192.9995 305.5005 m
B
U
[3 3 ]0 d
249.1862 286.6921 m
273.6566 275.2813 l
S
194.124 305.3125 m
273.2988 343.9308 l
S
401.0173 332.0606 m
425.4877 343.4714 l
S
u
0 O
0 g
[]0 d
399.4995 329.4805 m
398.1085 329.4805 396.9805 330.6085 396.9805 332.0005 c
396.9805 333.3915 398.1085 334.5195 399.4995 334.5195 c
400.8915 334.5195 402.0195 333.3915 402.0195 332.0005 c
402.0195 330.6085 400.8915 329.4805 399.4995 329.4805 c
b
399.4995 332.0005 m
B
U
u
400.4995 284.4805 m
399.1085 284.4805 397.9805 285.6085 397.9805 287.0005 c
397.9805 288.3915 399.1085 289.5195 400.4995 289.5195 c
401.8915 289.5195 403.0195 288.3915 403.0195 287.0005 c
403.0195 285.6085 401.8915 284.4805 400.4995 284.4805 c
b
400.4995 287.0005 m
B
U
u
345.9995 305.9805 m
344.6085 305.9805 343.4805 307.1085 343.4805 308.5005 c
343.4805 309.8915 344.6085 311.0195 345.9995 311.0195 c
347.3915 311.0195 348.5195 309.8915 348.5195 308.5005 c
348.5195 307.1085 347.3915 305.9805 345.9995 305.9805 c
b
345.9995 308.5005 m
B
U
[3 3 ]0 d
345.9995 308.5005 m
426.9995 277.0005 l
S
u
0 O
0 g
[]0 d
192.4995 166.4805 m
191.1085 166.4805 189.9805 167.6085 189.9805 169.0005 c
189.9805 170.3915 191.1085 171.5195 192.4995 171.5195 c
193.8915 171.5195 195.0195 170.3915 195.0195 169.0005 c
195.0195 167.6085 193.8915 166.4805 192.4995 166.4805 c
b
192.4995 169.0005 m
B
U
[3 3 ]0 d
346 193.25 m
427 161.75 l
S
192.9995 191.5005 m
272.1744 230.1188 l
S
162 148.5 m
192.4995 169.0005 l
S
345.5 218.5 m
319 234 l
S
u
0 O
0 g
[]0 d
245.9995 214.9805 m
244.6085 214.9805 243.4805 216.1085 243.4805 217.5005 c
243.4805 218.8915 244.6085 220.0195 245.9995 220.0195 c
247.3915 220.0195 248.5195 218.8915 248.5195 217.5005 c
248.5195 216.1085 247.3915 214.9805 245.9995 214.9805 c
b
245.9995 217.5005 m
B
U
0 To
1 0 0 1 263.6645 193.0391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 421.6645 193.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 421.1645 309.0391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 108 111 0 Tp
TP
0 Tr
/_Times-Roman 12 Tf
(Fig. 4.  Irreducible connected graphs for the interaction of a pion with a
pair\r) Tx
0 -14.5 Td
(of nucleons.  Here ``+. . .'' denotes other irreducible graphs differing only
in) Tx
(\r) Tx
0 -14.5 Td
(time-ordering of their vertices.  \(Diagrams that differ only by the exchange
of\r) Tx
0 -14.5 Td
(incoming and outgoing pions as well as diagrams that differ only by permu-\r)
Tx
0 -14.5 Td
(tations of nucleons are not shown.\)  Only the diagrams marked \(a\) -
\(f\)\r) Tx
0 -14.5 Td
(contribute to pion-nucleus scattering lengths.) Tx
(\r) TX
TO
0 To
1 0 0 1 135 630 0 Tp
TP
-7.5044 0 Td
0 Tr
/_CMR12 12 Tf
1 Ta
(\(a\)) Tx
(\r) TX
TO
0 To
1 0 0 1 297 630 0 Tp
TP
-7.8311 0 Td
0 Tr
(\(b\)) Tx
(\r) TX
TO
0 To
1 0 0 1 452 630 0 Tp
TP
-7.1777 0 Td
0 Tr
(\(c\)) Tx
(\r) TX
TO
0 To
1 0 0 1 134 503 0 Tp
TP
-7.8311 0 Td
0 Tr
(\(d\)) Tx
(\r) TX
TO
0 To
1 0 0 1 297 503 0 Tp
TP
-7.1777 0 Td
0 Tr
(\(e\)) Tx
(\r) TX
TO
0 To
1 0 0 1 460 503 0 Tp
TP
-6.3618 0 Td
0 Tr
(\(f\)) Tx
(\r) TX
TO
u
0 R
0 G
399.9995 169.4805 m
398.6085 169.4805 397.4805 170.6085 397.4805 172.0005 c
397.4805 173.3915 398.6085 174.5195 399.9995 174.5195 c
401.3915 174.5195 402.5195 173.3915 402.5195 172.0005 c
402.5195 170.6085 401.3915 169.4805 399.9995 169.4805 c
b
399.9995 172.0005 m
B
U
0 To
1 0 0 1 200.1645 568.0391 0 Tp
TP
0 Tr
0 Ta
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 353.6645 431.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 489.6645 431.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 189.6645 431.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 359.6645 567.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
0 To
1 0 0 1 488.6645 567.5391 0 Tp
TP
0 Tr
(+ . . .) Tx
(\r) TX
TO
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_IllustratorA_AI3 /terminate get exec
Adobe_typography_AI3 /terminate get exec
Adobe_customcolor /terminate get exec
Adobe_cshow /terminate get exec
Adobe_cmykcolor /terminate get exec
Adobe_packedarray /terminate get exec
%%EOF

%%%%THE END%%%%

