Backward Angle Fermion-Boson Scattering

Abstract

In a Regge-type treatment of Fermion-boson reactions, backward angle differential cross sections are dominated by complex conjugate pairs of $u$-channel Regge trajectories (this is true for spins \textonehalf{} and 0 or 1, and probably in general). It is demonstrated here that generally, these differential cross sections and associated final-state polarizations will not exhibit oscillatory behavior as a function of $u$ and $s$, in spite of interferences between the poles of such complex conjugate pairs. This result is in agreement with previous findings in the special case of $\ensuremath{\pi}\ensuremath{-}N$ scattering.