Lower Bound for the Leading Regge Trajectory

Abstract

A lower bound is given for the high-energy limit of the invariant scattering amplitude $F(s,t)\mathrm{}$ which implies that $limit\; of\mathrm{}\left|F\right(s,t\left)\right|\text{as}t\to \infty \ge O\left(t^{-1\mathrm{}}\right)$ for all values of the momentum transfer variable $s$. The derivation of this bound is based upon some general notions of dispersion theory. The situation in potential scattering is discussed briefly.