Elastic scattering of twisted electrons by atomic target: Going beyond the Born approximation

TL;DR

This paper investigates the elastic scattering of relativistic twisted electrons by neutral atoms, incorporating all orders of interaction to analyze effects beyond the first Born approximation, focusing on cross sections and polarization.

Contribution

It introduces a fully relativistic framework that accounts for high-order interactions in twisted electron scattering, surpassing the limitations of the first Born approximation.

Findings

High-order effects significantly alter scattering cross sections.

Kinematic parameters influence angular and polarization properties.

Relativistic effects are crucial for accurate scattering descriptions.

Abstract

The elastic scattering of twisted electrons by neutral atoms is studied within the fully relativistic framework. The electron-atom interaction is taken into account in all orders, thus allowing us to explore high-order effects beyond the first Born approximation. In order to illustrate these effects, detailed calculations of the total and differential cross sections as well as the degree of polarization of scattered electrons are performed. Together with the analysis of the effects beyond the first Born approximation, we discuss the influence of the kinematic parameters of the incident twisted electrons on the angular and polarization properties of the scattered electrons.