Scattering of massless fermions by Schwarzschild and Reissner-Nordstr\"om black holes

TL;DR

This paper analyzes how massless fermions scatter off Schwarzschild and Reissner-Nordstr"om black holes using partial wave analysis, deriving analytic phase shifts and revealing phenomena like glory and spiral scattering.

Contribution

It provides the first analytic phase shifts for massless fermion scattering in these black hole geometries, extending understanding of fermion-black hole interactions.

Findings

Analytic phase shifts obtained for massless fermion scattering

Glory and spiral scattering phenomena observed

Scattering cross sections computed explicitly

Abstract

In this paper we are studying the scattering of massless Dirac fermions by Schwarzschild and Reissner-Nordstr\"om 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.