Fermion scattering by a class of Bardeen black holes

TL;DR

This paper investigates how fermions scatter off a class of Bardeen black holes by solving the Dirac equation, deriving phase shifts, and analyzing scattering phenomena like glory and spiral scattering.

Contribution

It provides an analytical derivation of phase shifts for fermion scattering in Bardeen black hole geometry, extending previous studies to this specific class of regular black holes.

Findings

Glory and spiral scattering phenomena are observed.

Analytical expressions for phase shifts are derived.

Scattering behavior is similar to Schwarzschild and Reissner-Nordström black holes.

Abstract

In this paper the scattering of fermions by a class of Bardeen black holes is investigated. After obtaining the scattering modes by solving the Dirac equation in this geometry, we use the partial wave method to derive an analytical expression for the phase shifts that enter into the definitions of partial amplitudes that define the scattering cross sections and the induced polarization. It is then showed that, like in the case of Schwarzschild and Reissner-Nordstr\"om, the phenomena of glory and spiral scattering are present.