Compton Scattering of Gamma-Ray Vortex with Laguerre Gaussian Wave Function

TL;DR

This paper investigates Compton scattering of gamma-ray vortices with Laguerre Gaussian wave functions, revealing that scattered photon momentum distributes outside the reaction plane, enabling vortex identification through angle measurements.

Contribution

It introduces a relativistic quantum mechanics calculation for gamma-ray vortex scattering, uncovering a novel momentum distribution feature.

Findings

Photon momentum distributes outside the reaction plane.

Energy of scattered photon is also distributed.

Vortex identification possible via angle measurements.

Abstract

In this work, we report calculation for Compton scattering of a gamma-ray vortex with Laguerre Gaussian wave function on an electron in the framework of the relativistic quantum mechanics. We have found the following unexpected feature. The momentum of scattered photon distributes outside of the reaction plane determined by the incident photon and the scattered electron, and hence the energy of the scattered photon also distributes. This novel result indicates that one can identify a gamma-ray vortex by measuring coincidentally the scattered angles of the electron and photon.