How Well Can the Chew-Low Theory Reproduce Pion-Nucleon Scattering?

Abstract

When the Chew-Low theory for the $\pi N$ interaction is used as a basis for studying the $\pi$-nucleus interaction, it is required to fit the free $\pi N$ scattering data well. In this respect many calculations so far done are unsatisfactory. We show that an excellent fit is obtained within the existing Chew-Low framework if the inelasticity together with recoil and the crossing term are taken into account, and we comment on a recent work by Dover et al.