Electron's anomalous magnetic moment effects on electron-hydrogen elastic collisions in the presence of a circularly polarized laser field

TL;DR

This paper investigates how the electron's anomalous magnetic moment influences electron-hydrogen elastic collisions under a circularly polarized laser field, revealing a strong dependence of the differential cross section on this anomaly and electric field strength.

Contribution

It introduces a detailed analysis of the electron's anomalous magnetic moment effects on relativistic electron scattering in laser fields using Dirac-Volkov states, highlighting new dependencies in the differential cross section.

Findings

Differential cross section strongly depends on the electron's anomalous magnetic moment and electric field strength.

The study covers non-relativistic and moderate relativistic regimes, addressing the dynamical behavior in relativistic conditions.

The correlation between the anomaly terms and the electric field leads to novel effects in electron scattering processes.

Abstract

The effect of the electron's anomalous magnetic moment on the relativistic electronic dressing for the process of electron-hydrogen atom elastic collisions is investigated. We consider a laser field with circular polarization and various electric field strengths. The Dirac-Volkov states taking into account this anomaly are used to describe the process in the first order of perturbation theory. The correlation between the terms coming from this anomaly and the electric field strength gives rise to new results, namely the strong dependence of the spinor part of the differential cross section (DCS) with respect to these terms. A detailed study has been devoted to the non relativistic regime as well as the moderate relativistic regime. Some aspects of this dependence as well as the dynamical behavior of the DCS in the relativistic regime have been addressed.