Perturbative Study of Bremsstrahlung and Pair-Production by Spin-1/2 Particles in the Aharonov-Bohm Potential

TL;DR

This paper analyzes how spin-1/2 particles interact with an Aharonov-Bohm potential, focusing on bremsstrahlung and pair-production processes using perturbation theory, providing new calculations of cross-sections and distributions.

Contribution

It presents a perturbative calculation of bremsstrahlung and pair-production processes in an Aharonov-Bohm potential for spin-1/2 particles, including matrix elements and cross-sections.

Findings

Derived matrix elements for both processes.

Calculated differential cross-sections in the Born approximation.

Compared non-relativistic distributions with previous results.

Abstract

In the presence of an external Aharonov-Bohm potential, we investigate the two QED processes of the emission of a bremsstrahlung photon by an electron, and the production of an electron-positron pair by a single photon. Calculations are carried out using the Born approximation within the framework of covariant perturbation theory to lowest non-vanishing order in \alpha. The matrix element for each process is derived, and the corresponding differential cross-section is calculated. In the non-relativistic limit, the resulting angular and spectral distributions and some polarization properties are considered, and compared to results of previous works.