Superconvergent Bootstrap of the Vector and Tensor Regge Trajectories

Abstract

A dynamical scheme proposed by Mandelstam, based on rising Regge trajectories, the narrow-resonance approximation, and generalized superconvergence relations, is applied within exact SU(3) to the amplitude for V-\-P -> P+P, where P and V stand for pseudoscalar and vector mesons. It is shown that the coupled vector-and tensor-octet trajectories can indeed bootstrap themselves satisfactorily. The vector-octet trajectory is also shown to bootstrap itself. The interesting mass formula 3juy 2 =jur 2 4-3jup 2 is also obtained, where /JLM 2 represents the average mass squared of the If-meson octet, and T stands for tensor mesons.