Pole approximation in potential scattering

Abstract

A simple approximation for calculating S-wave scattering in potential theory at certain discrete energies E(α) = (θα, Hθα), with θα(r) a suitable function vanishing as r → ∞, is proposed. It corresponds to replacing the right hand branchcut in the scattering amplitude due to unitarity by a simple pole at E = E(α) and places scattering on the same footing as the bound state problem. Numerical results for the attractive exponential and Yukawa potential are given. © 1968.