Scattering theory for arbitrary potentials

A. S. Kadyrov, I. Bray, A. M. Mukhamedzhanov, and A. T. Stelbovics
Phys. Rev. A 72, 032712 – Published 13 September 2005
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  • INTRODUCTION
  • FORMALISM FOR LONG-RANGE POTENTIALS
  • CONSISTENCY WITH CONVENTIONAL RESULTS
  • CONCLUSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    The fundamental quantities of potential scattering theory are generalized to accommodate long-range interactions. 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.

    • Received 24 May 2005

    DOI:https://doi.org/10.1103/PhysRevA.72.032712

    ©2005 American Physical Society

    Authors & Affiliations

    A. S. Kadyrov1,*, I. Bray1,†, A. M. Mukhamedzhanov2,‡, and A. T. Stelbovics1,§

    • 1Centre for Atomic, Molecular and Surface Physics, Division of Science and Engineering, Murdoch University, Perth 6150, Australia
    • 2Cyclotron Institute, Texas A&M University, College Station, Texas 77843, USA

    • *Electronic address: A.Kadyrov@murdoch.edu.au
    • †Electronic address: I.Bray@murdoch.edu.au
    • ‡Electronic address: Akram@comp.tamu.edu
    • §Electronic address: A.Stelbovics@murdoch.edu.au

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    Issue

    Vol. 72, Iss. 3 — September 2005

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