Relativistic particle incoherent scattering by the nuclei of crystal plane atoms

TL;DR

This paper develops a quantum-mechanics-based theory for relativistic particle incoherent scattering by crystal nuclei, enabling accurate simulations without phenomenological parameters, with implications for particle dechanneling and crystal-based experiments.

Contribution

It introduces a fundamental formula for mean square incoherent scattering angle that accounts for crystal atom distribution inhomogeneity without extra computational cost.

Findings

Provides a parameter-free scattering model for relativistic particles in crystals.

Enhances simulation accuracy for particle dechanneling in crystal structures.

Offers insights into particle behavior in crystal undulators and electromagnetic moment measurements.

Abstract

A consistent theory, which describes the incoherent scattering of classically moving relativistic particles by the nuclei of crystal planes without any phenomenological parameter is presented. The basic notions of quantum mechanics are applied to introduce a fundamental compact formula for the mean square incoherent scattering angle per unit length of particle trajectory. The latter is used to implement the effects of the crystal atom distribution inhomogeneity into the Coulomb scattering simulations without noticeable elongation of the simulation time. The theory essentially reconsiders the nature of positively charged particle dechanneling from the low nuclear density regions, being essential in both the crystal undulators and envisaged measurements of the specific electromagnetic momenta of short living particles.