English

Scattering theory for arbitrary potentials

Nuclear Theory 2009-02-05 v1

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.

Keywords

Cite

@article{arxiv.nucl-th/0508014,
  title  = {Scattering theory for arbitrary potentials},
  author = {A. S. Kadyrov and I. Bray and A. M. Mukhamedzhanov and A. T. Stelbovics},
  journal= {arXiv preprint arXiv:nucl-th/0508014},
  year   = {2009}
}

Comments

To be published in Phys Rev A