PREPRINT
8746D7CC-BC75-4595-918A-6A0850949A5D

# Synchrotron radiation by slowly rotating fermions

Matteo Buzzegoli, Jonathan D. Kroth, Kirill Tuchin, Nandagopal Vijayakumar

Submitted on 6 September 2022

## Abstract

We study the synchrotron radiation emitted by a rigidly rotating charged fermion in a constant magnetic field $B$ parallel to the axis of rotation. The rigid rotation is classical and independent of the magnetic field. The angular velocity of rotation $\mathrm{\Omega }$ is assumed to be much smaller than the inverse magnetic length $\sqrt{qB}$ which allows us to ignore the boundary effects at $r=1/\mathrm{\Omega }$. We refer to such rotation as slow, even though in absolute value it may be an extremely rapid rotation. Using the exact solution of the Dirac equation we derived the intensity of electromagnetic radiation, its spectrum and chirality. We demonstrate by explicit numerical calculation that the effect of rotation on the radiation intensity increases with the particle energy. Depending on the relative orientation of the vectors $\mathbf{\Omega }$ and $\mathbf{B}$ and the sign of the electric charge, the rotation can either strongly enhance or strongly suppress the radiation.

## Preprint

Comment: 5 pages, 2 figures

Subjects: High Energy Physics - Phenomenology; Astrophysics - High Energy Astrophysical Phenomena; High Energy Physics - Theory