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Scattering theory for arbitrary potentials

A. S. Kadyrov·I. Bray·A. M. Mukhamedzhanov·A. T. Stelbovics
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Abstract

The fundamental quantities of potential scattering theory are generalized to accommodate long-range interactions. New definitions for the scattering amplitude and wave operators valid for arbitrary interactions including potentials with a Coulomb tail are presented. It is shown that for the Coulomb potential the generalized amplitude gives the physical on-shell amplitude without recourse to a renormalization procedure.

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A. S. Kadyrov, I. Bray, A. M. Mukhamedzhanov, A. T. Stelbovics. 2005-08-05. Scattering theory for arbitrary potentials. https://doi.org/10.1103/physreva.72.032712

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