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Relativistic scattering theory of charged spinless particles

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Czechoslovak Journal of Physics B Aims and scope

Abstract

In the context of a relativistic quantum mechanics we discuss the scattering of two and three charged spinless particles. The corresponding transition operators are shown to satisfy four-dimensional Lippmann-Schwinger and eight-dimensional Faddeev-type equations, respectively. A simplified model of two particles with Coulomb interaction can be solved exactly. We calculate: (i) The partial waveS-matrix from which we extract the bound state spectrum. The latter agrees with a fourth-order result of Schwinger, (ii) The full scattering amplitude which in the weakfield limit coincides with the expression derived by Fried et al. from eikonalized QED.

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Authors and Affiliations

  1. Institut für Physik, Johannes Guttenberg-Universität, 6500, Mainz, FRG

    E. O. Alt & M. Hannemann

Authors
  1. E. O. Alt
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  2. M. Hannemann
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Based on part of the Ph D. thesis by M. Hannemann, Mainz, 1985.

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Alt, E.O., Hannemann, M. Relativistic scattering theory of charged spinless particles. Czech J Phys 36, 922–925 (1986). https://doi.org/10.1007/BF01797500

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  • DOI: https://doi.org/10.1007/BF01797500

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