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

Abstract

In this paper we are studying the scattering of massless Dirac fermions by Schwarzschild and Reissner-Nordström black holes. This is done by applying the 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 succeed to obtain analytic phase shifts with the help of which the scattering cross section is computed. The glory and spiral scattering phenomena are showed to be present like in the case of massive fermion scattering by black holes.

arXiv comment8 pages, 5 figures; v2: added fig.6 and some comments; references updated; matches the version to be published in Chinese Physics C

References in corpus (36)

• The Hierarchy Problem and New Dimensions at a Millimeter
• Evidence for oscillation of atmospheric neutrinos
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Universailty of Low Energy Absorption Cross-sections for Black Holes
• Into the lair: gravitational-wave signatures of dark matter
• On the improvement of cosmological neutrino mass bounds
• Scattering and absorption of gravitational plane waves by rotating black holes
• Black holes and gravitational waves in models of minicharged dark matter
• Scattering of massless scalar waves by Reissner-Nordström black holes
• Fermion scattering by a Schwarzschild black hole
• Absorption of a massive scalar field by a charged black hole
• Absorption and Emission Spectra of an higher-dimensional Reissner-Nordström black hole
• Absorption of planar massless scalar waves by Bardeen regular black holes
• Polarized Dirac fermions in de Sitter spacetime
• Electromagnetic wave scattering by Schwarzschild black holes
• Graviton Emission in the Bulk from a Higher-Dimensional Schwarzschild Black Hole
• Absorption of planar massless scalar waves by Kerr black holes
• Low-frequency scalar absorption cross sections for stationary black holes
• Scattering of circularly polarized light by a rotating black hole
• Proof of universality for the absorption of massive scalars by the higher-dimensional Reissner-Nordström black holes
• Low-Energy Absorption Cross Section for massive scalar and Dirac fermion by $(4+n)$-dimensional Schwarzschild Black Hole
• Perturbation Theory Calculation of the Black Hole Elastic Scattering Cross Section
• Scattering of Long-Wavelength Gravitational Waves
• Inferring black hole charge from backscattered electromagnetic radiation
• Scattering of massive Dirac fields on the Schwarzschild black hole spacetime
• Partial wave analysis of the Dirac fermions scattered from Schwarzschild black holes
• WKB Analysis of the Scattering of Massive Dirac Fields in Schwarzschild Black Hole Spacetimes
• The Dirac particle on central backgrounds and the anti-de Sitter oscillator
• Massive Fermion Emission from Higher Dimensional Black Holes
• Approximative analytical solutions of the Dirac equation in Schwarzschild spacetime
• Orbiting phenomena in black hole scattering
• Partial wave analysis of the Dirac fermions scattered from Reissner - Nordstr\" om charged black holes
• Radiation processes in the vicinity of non-Schwarzschild and non-Kerr black holes
• New modes for massive Dirac field in higher dimensional Black Holes
• Fermion Scattering off Dilatonic Black Holes
• Superradiant scattering of electromagnetic waves emitted from disk around Kerr black holes

Cited by in corpus (6)

• Black holes with surrounding matter and rainbow scattering
• Scalar field in Reissner-Nordström spacetime: Bound state and scattering state
• Scattering of Dirac fermions by spherical massive bodies
• Fermion scattering by a class of Bardeen black holes
• Scattering and conversion of electromagnetic and gravitational waves by Reissner-Nordström black holes: The Regge pole description
• Scattering of quantum fields by a MOG Black Hole