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Threshold Behavior and Existence of
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analytic approximate solutions asymptotic behavior channels are shown Chapter CM CM CM cn CM H CM CM O H CM VD cn cn Cornell University correct threshold behavior cross-threshold diagonal dispersion relation Elementary Particle exchange driving term explanation of Figure Feynman diagram Figure 17 Fj^z fJ+(z fL(s fL(z GN(z H 1 H H CM H H H H H o CM H o H H tn Herglotz function infinity integral equations isospin kinematic meson modified amplitude multichannel scattering processes N(bm N/D decomposition near-by region nucleon exchange driving numerical calculations parameters Phys physical cut pole approximation pole position rational function real analytic functions real axis Regge pole resultant phase shift S-Matrix scattering amplitudes Self-consistent solutions corresponding shifts with nucleon solving N/D equations spectral integral Strong Interaction subtraction constants subtraction points symmetric tn CM tn H TTN scattering unitarity condition unphysical cuts Various Born terms VD VD zeros