Application of a Crossing-Symmetric Model Satisfying the Mandelstam Representation to π-π and K-π Scattering

A model for meson-meson scattering satisfying the Mandelstam representation, crossing symmetry, and Regge behavior and including a Pomeranchukon amplitude is applied to π-π and K-π scattering. Solutions are found for the K-π partial waves that satisfy unitarity approximately at low energies, give a satisfactory fit to the on-mass-shell data, and predict scattering lengths consistent with current algebra. Apart from a change in the coupling …