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Analytic expressions for the partial waves of the off-shell two body coulomb T-matrix

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Czechoslovak Journal of Physics B Aims and scope

Abstract

Closed form expressions for all partial waves of the pure Coulomb off-shell T-matrix 〈p¦ Tc,l.(k 2) ¦p′〉 are obtained. All singularities appear through simple special functions, which makes it possible to study the analytic properties of 〈p¦ Tc,l(k2) ¦p′〉 as a function not only of one of the momentap, p′ but even of both of them. With use of the renormalization procedure found by Zorbas the transition to half-and on-shell values is performed reproducing known expressions. By the same method simple expressions for the partial waves of the Coulomb wave function in the momentum representation are found.

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Author notes

  1. J. Dušek

    Present address: Department of Physics, Institute of Mechanical and Electrical Engineering, Nejedlého sady 14, 306 14, Plzeň, Czechoslovakia

Authors and Affiliations

  1. Department of Mathematical Physics, Faculty of Mathematics and Physics of the Charles University, Prague

    J. Dušek

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Dušek, J. Analytic expressions for the partial waves of the off-shell two body coulomb T-matrix. Czech J Phys 31, 941–968 (1981). https://doi.org/10.1007/BF01598460

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  • DOI: https://doi.org/10.1007/BF01598460

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