Abstract
A simple approximation for calculating S-wave scattering in potential theory at certain discrete energies E ( α) = ( θ α , Hθ α ), with θ α ( 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.
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