Muon's anomalous magnetic moment effects on laser assisted Coulomb scattering process

TL;DR

This paper investigates how the anomalous magnetic moment of muons influences laser-assisted Coulomb scattering, revealing minimal impact on differential cross sections despite considering relativistic effects and mass differences.

Contribution

It extends the analysis of laser-assisted Coulomb scattering to include muons with anomalous magnetic moments using the Dirac equation in the Weak Field Approximation.

Findings

No significant difference in muon's differential cross sections with or without AMM effects.

Mass of the particle influences the magnitude of the differential cross sections.

Relativistic effects are incorporated in the scattering analysis.

Abstract

Laser assisted Coulomb scattering by relativistic electron and heavy electron (muon) is studied by using Salamin waves (Salamin 1993) in the Weak Field Approximation (WFA). Both electron and muon are described by the Dirac equation, with the anomalous magnetic moment effects fully included. The generalization of this paper to heavy electron (muon) gives interesting insights as to how the mass affects the magnitude of the differential cross sections. No significant difference in the muon's DCS with and without AMM effects was detected.