On fast charged particle scattering by periodic atomic planes: quadratic potential corrections

TL;DR

This paper extends a scattering model for fast charged particles by including quadratic potential corrections, deriving a differential cross section that separates into coherent and incoherent parts.

Contribution

It introduces quadratic potential terms into the scattering approach for complex atomic structures, providing a more accurate differential cross section calculation.

Findings

Differential cross section splits into coherent and incoherent parts.

Quadratic potential corrections significantly affect scattering predictions.

The method applies to targets with complex structures and isolated substructures.

Abstract

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contains some isolated substructures, was expanded to account quadratic potential terms. Based on this approach, the differential cross section for scattering on the set of parallel planes with uniformly distributed atoms in each plane was obtained. It was shown that for this case the differential scattering cross section splits into coherent and incohent cross sections in the eikonal approximation analogously with the Born approximation.