Half-shell scattering by a screened Coulomb potential

L. P. Kok*, J. W. de Maag, T. R. Bontekoe, H. van Haeringen

*Corresponding author for this work

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    We investigate the physical half-shell T matrix for scattering by a smoothly screened Coulomb potential. In particular, we study the Kowalski-Noyes half-shell extension function Flhs(p;k) in the limit that the screening radius a tends to infinity. For the Coulomb potential the half-shell scattering cross section is a discontinuous (step) function of the off-shell momentum p at the on-shell point p=k. For the screened Coulomb potential (with screening of the Hulthén form, for l=0) we find that the half-shell cross section exhibits almost a step behavior near p=k: Its magnitude varies dramatically in an interval, the width of which is of the order of the inverse screening radius a. We discuss physical implications of this result.
    Original languageEnglish
    Pages (from-to)819-829
    Number of pages11
    JournalPhysical Review C
    Issue number3
    Publication statusPublished - 1982

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