Phase of the Large-Angle Scattering Amplitude and Van Hove's Uncorrelated Jet Model

Abstract

By considering the $s$ plane at fixed $A={[\frac{(1\ensuremath{-}cos\ensuremath{\theta})}{(3+cos\ensuremath{\theta})}]}^{2}$, where $\ensuremath{\theta}$ is the c.m. scattering angle, it is shown that the phase of the crossing-symmetric amplitude that describes the large-angle elastic scattering of spinless particles is energy-dependent, for almost all possible phenomenologically based assumptions about the high-energy behavior of the differential cross section. The consequences for the uncorrelated jet model are discussed. The work is extended to particles with spin.