The Riemann Surface of a Static Dispersion Model and Regge Trajectories

Details The Riemann Surface of a Static Dispersion Model and Regge Trajectories The Riemann Surface of a Static Dispersion Model and Regge Trajectories

1997-10-21

arxiv.org/abs/hep-th/9710167v1

Phys.Atom.Nucl.63:666-667,2000; Yad.Fiz.63:732-733,2000

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, LaTex

Scientific paper

10.1134/1.855685

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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