Partial wave analysis of the Dirac fermions scattered from Reissner–Nordström charged black holes

Abstract

The asymptotic form of Dirac spinors in the field of the Reissner–Nordström black hole is derived for the scattering states (with E> mc2) obtaining the phase shifts of the partial wave analysis of Dirac fermions scattered from charged black holes. Elastic scattering and absorption are studied giving analytic formulas for the partial amplitudes and cross sections. A graphical study is performed for analyzing the differential cross section (forward/backward scattering) and the polarization degrees as functions of the scattering angle.