Bremsstrahlung of relativistic electrons in the Aharonov-Bohm potential

TL;DR

This paper studies how relativistic electrons emit bremsstrahlung radiation when scattering off an Aharonov-Bohm magnetic flux tube, revealing an unexpected angular asymmetry at low energies due to magnetic moment interactions.

Contribution

It provides a quantum electrodynamics analysis of bremsstrahlung in the Aharonov-Bohm potential, including solutions of Dirac and Maxwell fields and detailed cross section dependence.

Findings

Angular asymmetry at low energies due to magnetic moment interaction

Dependence of bremsstrahlung cross section on energy, direction, and polarization

Analysis of scattering processes in the Aharonov-Bohm potential

Abstract

We investigate the scattering of an electron by an infinitely thin and infinitely long straight magnetic flux tube in the framework of QED. We discuss the solutions of the Dirac and Maxwell fields in the related external pure AB potential and evaluate matrix elements and differential probabilities for the bremsstrahlung process. The dependence of the resulting cross section on the energy, direction and polarization of the involved particles is analyzed. In the low energy regime a surprising angular asymmetry is found which results from the interaction of the electron's magnetic moment with the magnetic field.