Bethe-Schwinger Effective Range Theory and Lehmann and Weinberg Chiral Perturbation Theories

Abstract

This paper is a brief review of low energy soft hadronic physics, starting from the invention of the low energy effective range theory in the late 40's due to Bethe and Schwinger for nucleon-nucleon scattering, and its generalization to the static Chew-Low model for pion nucleon scattering, to the present development of the Lehmann and Weinberg Chiral Perturbation Theories. It is pointed out that a consistent low energy calculation can be achieved with the incorporation of the unitarity relation in the Chiral Perturbation Theory.