Electron-positron pair production in the Aharonov-Bohm potential

TL;DR

This paper calculates the probability of electron-positron pair creation by a photon in an Aharonov-Bohm potential, analyzing how energy, angle, and polarization affect the process at various energies.

Contribution

It provides the first perturbative calculation of pair production cross sections in the Aharonov-Bohm potential, including detailed distributions.

Findings

Cross section varies with energy, angle, and polarization.

Distinct behaviors observed near threshold and at high energies.

Results enhance understanding of quantum effects in topological potentials.

Abstract

In the framework of QED we evaluate the cross section for electron-positron pair production by a single photon in the presence of the external Aharonov-Bohm potential in first order of perturbation theory. We analyse energy, angular and polarization distributions at different energy regimes: near the threshold and at high photon energies.