About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Paper
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.