Partial wave analysis of the Dirac fermions scattered from Reissner - Nordstr\" om charged black holes

TL;DR

This paper derives the asymptotic form of Dirac spinors in Reissner-Nordstrom black hole fields, calculates phase shifts, and analyzes scattering and absorption, providing analytic formulas and graphical insights into scattering behaviors.

Contribution

It presents a novel partial wave analysis of Dirac fermions scattering from charged black holes, including phase shifts and cross sections with analytical expressions.

Findings

Analytic formulas for partial amplitudes and cross sections

Graphical analysis of differential cross sections and polarization

Insights into forward/backward scattering behavior

Abstract

The asymptotic form of Dirac spinors in the field of the Reissner-Nordstrom black hole are derived for the scattering states (with $E>mc^2$) obtaining the phase shifts of the partial wave analysis of Dirac fermions scattered from charged black holes. The elastic scattering and absorption are studied giving analytic formulas for the partial amplitudes and cross sections. A graphical study is performed for analysing the differential cross section (forward/backward scattering) and the polarization degree as functions of scattering angle.