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Three-body treatment of Coulomb effects in the problem of long-range effective interactions

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Abstract

The problem of Coulomb scattering of a charged particle by a two-particle bound system, consisting of a charged and a neutral particle, is investigated in the integral-equation approach of rigorous three-body theory. The bound state of the two particles is provided by a short-range interaction chosen in the simplest form using anS-wave separable potential. The integral equation defining the effective potential of the interaction of the charged particle with the two-particle bound system is formulated. It is shown that the multiple Coulomb scattering of the involved charged particles generates a sequence of long-range terms in the effective potential. It turns out that the long-range effects of Coulomb scattering are partly cancelled. As a result the polarization potential does not contain the longest-ranged terms which decrease at large distances as ρ−2 and ρ−3.

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Author notes

  1. V. F. Kharchenko

    Present address: Institute for Theoretical Physics, Academy of Sciences of the Ukrainian SSR, 130, Kiev, USSR

Authors and Affiliations

  1. Physics Department, Ferrara University, Via Paradiso 12, I-44100, Ferrara, Italy

    V. F. Kharchenko

  2. Institute for Nuclear Research, Academy of Sciences of the Ukrainian SSR, 28, Kiev, USSR

    S. A. Shadchin

Authors
  1. V. F. Kharchenko
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  2. S. A. Shadchin
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Kharchenko, V.F., Shadchin, S.A. Three-body treatment of Coulomb effects in the problem of long-range effective interactions. Few-Body Systems 6, 45–61 (1989). https://doi.org/10.1007/BF01076282

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  • DOI: https://doi.org/10.1007/BF01076282

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