The Riemann Surface of a Static Dispersion Model and Regge Trajectories

Abstract

The S-matrix in the static limit of a dispersion relation is a matrix of a finite order N of meromorphic functions of energy $\omega$ in the plane with cuts $(-\infty ,-1],[+1,+\infty )$. In the elastic case it reduces to N functions $S_i(\omega )$ connected by the crossing symmetry matrix A. The scattering of a neutral pseodoscalar meson with an arbitrary angular momentum l at a source with spin 1/2 is considered (N=2). The Regge trajectories of this model are explicitly found.

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