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

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.