Small-angle scattering in a Reissner-Nordstrem field

Physics

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General Relativity, Electrically Charged Black Holes, Klein-Gordon Equation, Scattering, Quasiclassical Approximation, Short Wave Lengths, Scattering Phases, Amplitude, Cross Section

Scientific paper

Phases, amplitudes and differenrial cross section of charged particle scattering by a Reissner-Nordstrom 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 the relativistic particles the angular scattering distribution differs from the Rutherford distribution in terms ~(angle)^(-3).

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