Scattering theory for arbitrary potentials

Details Scattering theory for arbitrary potentials Scattering theory for arbitrary potentials

2005-08-05

arxiv.org/abs/nucl-th/0508014v1

Phys.Rev.A72:032712,2005

Physics

Nuclear Physics

Nuclear Theory

To be published in Phys Rev A

Scientific paper

10.1103/PhysRevA.72.032712

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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