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

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 $K^{\pm }-p$ scattering and we predict polarizations in $K-N$ charge-exchange processes. We use two pairs of exchange-degenerate Regge poles (the $\rho$ and $A_2$ and the $\omega$ and $P^{\prime }$) and a flat Pomeranchon with a residue function given by a product of dipoles. All differential and total cross sections are fitted quite well.