Scattering theory for arbitrary potentials
A. S. Kadyrov, I. Bray, A. M. Mukhamedzhanov, A. T. Stelbovics
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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