Differential cross sections for muonic atom scattering in solid hydrogenic targets

TL;DR

This paper calculates differential cross sections for low-energy muonic hydrogen atom scattering in solid hydrogenic targets, considering crystal structure and phonon effects, and applies these results to simulate muonic atom beam production.

Contribution

It introduces detailed calculations of scattering cross sections in solid hydrogenic targets considering crystal structure and phonon interactions, aiding muonic atom beam simulations.

Findings

Cross sections depend on temperature and crystal structure.

Monte Carlo simulations successfully model muonic atom slowing down.

Application to muonic atom beam production in multilayer crystals.

Abstract

The differential cross sections for low-energy muonic hydrogen atom scattering in solid molecular H$_2$, D$_2$ and T$_2$ targets under low pressure have been calculated for various temperatures. The polycrystalline fcc and hcp structure of the solid hydrogenic targets are considered. The Bragg and phonon scattering processes are described using the Debye model of a solid. The calculated cross sections are used for Monte Carlo simulations of the muonic atom slowing down in these targets. They have been successfully applied for a description of the production of the muonic atom beams in the multilayer hydrogenic crystals.