Application of Dispersion Relations to Low-Energy Meson-Nucleon Scattering

Abstract

Relativistic dispersion relations are used to derive equations for low-energy $S$-, $P$-, and $D$-wave meson-nucleon scattering under the assumption that the (3,3) resonance dominates the dispersion integrals. The $P$-wave equations so obtained differ only slightly from those of the static fixed-source theory. The conclusions of the static theory are re-examined in the light of their new derivation.