Nonsingular integral equation for two-body scattering and applications in two and three dimensions

H.T.C. Stoof, L.P.H. Goey, de, W.M.H.M. Rovers, P.S.M. Kop Jansen, B.J. Verhaar

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    19 Citations (Scopus)

    Abstract

    We introduce a new nonsingular scattering integral equation, which is suitable for the investigation of the total (also off-shell) transition matrix in arbitrary dimension n=2. In particular, the low-energy properties are derived and lead, in connection with spin-polarized atomic hydrogen H¿, to the low-temperature behavior of two- and three-body surface processes. In addition, for three dimensions the method leads in a natural way to a separable approximation to the T matrix for all energies, with the possibility of formulating a procedure for optimizing this approximation. To show the practicability of the equation we also present numerical results for both n=2 and n=3.
    Original languageEnglish
    Pages (from-to)1248-1257
    JournalPhysical Review A: General Physics
    Volume38
    Issue number3
    DOIs
    Publication statusPublished - 1988

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