Regge-Pole Eikonal Theory of Small-Angle Kaon-Nucleon Scattering

Abstract

A quantitative model for small-angle, high-energy kaon-nucleon scattering is presented. The model is a generalization of an eikonal Regge model of Arnold and Blackmon. Improvements on pure Regge models are naturally obtained. We find a natural crossover effect in ${K}^{\ifmmode\pm\else\textpm\fi{}}\ensuremath{-}p$ scattering and we predict polarizations in $K\ensuremath{-}N$ charge-exchange processes. We use two pairs of exchange-degenerate Regge poles (the $\ensuremath{\rho}$ and ${A}_{2}$ and the $\ensuremath{\omega}$ and ${P}^{\ensuremath{'}}$) and a flat Pomeranchon with a residue function given by a product of dipoles. All differential and total cross sections are fitted quite well.