Electron Scattering from Freely Moveable spin-$\frac{1}{2}$ fermion in Strong Laser Field

TL;DR

This paper investigates how a linearly polarized laser field influences electron scattering from a freely movable spin-1/2 particle, revealing reduced differential cross sections compared to traditional Mott scattering, especially at small angles.

Contribution

It introduces a perturbation-based wave function approach to describe electron scattering in a laser field with movable targets, extending previous models.

Findings

Differential cross section depends on laser strength and frequency.

Movable targets lead to reduced scattering cross sections.

Significant differences observed at small scattering angles.

Abstract

We study the electron scatter from the freely movable spin-$\frac{1}{2}$ particle in the presence of a linearly polarized laser field in the first Born approximation. The dressed state of electrons is described by a time-dependent wave function derived from a perturbation treatment (of the laser field). With the aid of numerical results we explore the dependencies of the differential cross section on the laser field properties such as the strength, the frequency, as well as on the electron-impact energy, etc. Due to the targets are movable, the DCS of this process reduced comparing to the Mott scattering, especially in small scattering angles.