On Compton ionization of a hydrogen atom by twisted photons

TL;DR

This paper calculates the probability of hydrogen atom ionization by twisted photons, revealing how the process depends on the photon’s angular momentum but does not alter the angular distribution of the ejected particles.

Contribution

It introduces a detailed calculation of Compton ionization with cylindrical waves, highlighting the role of angular momentum and finite target size effects.

Findings

Ionization probability depends on photon angular momentum.

No new angular distributions of reaction products are observed.

Finite target size influences the ionization probability.

Abstract

The differential probability of the process of Compton ionization of a hydrogen atom by a cylindrical electromagnetic wave is calculated taking into account the finite size of the target, which resulted in the appearance of a dependence of this value on the angular momentum of the cylindrical wave. It is shown that the use of a cylindrical wave instead of a plane wave does not lead to new angular distributions of the reaction products.