Scattering of Pions by Nucleons in Intermediate Coupling

Abstract

An intermediate-coupling method of calculation is applied to the meson-nucleon scattering problem for the case of symmetric pseudoscalar mesons, coupled to a fixed extended source through derivative coupling. It is found that the experimentally observed $P$-wave phase shifts can be explained by taking the coupling constant ${f}^{2}=0.712$ and the cutoff ${\ensuremath{\omega}}_{max}=6.21$ meson masses. (This corresponds to a renormalized coupling constant ${{f}_{r}}^{2}=0.105$.)