Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes

  • We study the scattering of massless Dirac fermions by Schwarzschild and Reissner-Nordström black holes. This is done by applying partial wave analysis to the scattering modes obtained after solving the massless Dirac equation in the asymptotic regions of the two black hole geometries. We successfully obtain analytic phase shifts, with the help of which the scattering cross section is computed. The glory and spiral scattering phenomena are shown to be present, as in the case of massive fermion scattering by black holes.
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Ciprian A. Sporea. Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes[J]. Chinese Physics C, 2017, 41(12): 123101. doi: 10.1088/1674-1137/41/12/123101
Ciprian A. Sporea. Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes[J]. Chinese Physics C, 2017, 41(12): 123101.  doi: 10.1088/1674-1137/41/12/123101 shu
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Received: 2017-08-02
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    Supported by a grant of the Ministry of National Education and Scientific Research, RDI Programme for Space Technology and Advanced Research-STAR, project number 181/20.07.2017

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Scattering of massless fermions by Schwarzschild and Reissner-Nordström black holes

    Corresponding author: Ciprian A. Sporea,
Fund Project:  Supported by a grant of the Ministry of National Education and Scientific Research, RDI Programme for Space Technology and Advanced Research-STAR, project number 181/20.07.2017

Abstract: We study the scattering of massless Dirac fermions by Schwarzschild and Reissner-Nordström black holes. This is done by applying partial wave analysis to the scattering modes obtained after solving the massless Dirac equation in the asymptotic regions of the two black hole geometries. We successfully obtain analytic phase shifts, with the help of which the scattering cross section is computed. The glory and spiral scattering phenomena are shown to be present, as in the case of massive fermion scattering by black holes.

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