Mott Scattering of polarized electrons in a circularly polarized laser field

TL;DR

This paper investigates Mott scattering of polarized electrons in a circularly polarized laser field, analyzing relativistic and non-relativistic regimes, and confirms the consistency of differential cross sections with known physics.

Contribution

It introduces a comprehensive analysis of polarized electron scattering in laser fields using helicity formalism, including new calculations of flip and non-flip differential cross sections.

Findings

Results are coherent with scattering without laser fields.

Sum of spin-up and spin-down cross sections equals unpolarized cross section.

Relativistic unpolarized cross section converges to non-relativistic case at low velocities.

Abstract

We present a study of Mott scattering of polarized electrons in the presence of a laser field with circular polarization using the helicity formalism and the introduction of the well known concept of non flip differential cross section as well as that of flip differential cross section. The results we have obtained in the presence of a laser field are coherent with those obtained in the absence of a laser field. We have studied the relativistic regime as well as the non relativistic regime that are precisely defined in the text. Two important consistency checks have been carried out successfully. The first one is that the sum of both differential cross sections (one with spin up, the other with spin down) always gives the unpolarized differential cross section. The second one is that the relativistic unpolarized differential cross section converges to the non relativistic differential cross section in the limit of small velocities. Moreover, the results obtained using the sofware Reduce \cite{8} gave rise to non contracted coefficients that have been dealt with using the geometry chosen.