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Small-angle scattering in a Reissner-Nordstrem field. Quasiclassical approximation

Abstract

Phases, amplitude and differential cross section of charged particle scattering by a Reissner-Nordstrem black hole are obtained for small scattering angles in a quasiclassical approximation of the Klein-Gordon equation. The approximation is legitimate in the shortwave case, where the situation is considered when the Coulomb and gravitational effects are commensurate in magnitude. It is shown that for relativistic particles the angular scattering distribution differs from the Rutherford distribution in terms ∼Θ−3.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 33–37, July, 1988.

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Gaina, A.B. Small-angle scattering in a Reissner-Nordstrem field. Quasiclassical approximation. Soviet Physics Journal 31, 544–548 (1988). https://doi.org/10.1007/BF00917545

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Keywords

  • Black Hole
  • Charged Particle
  • Differential Cross Section
  • Relativistic Particle
  • Gravitational Effect