Atomic Cascade in Muonic and Hadronic Hydrogen Atoms

TL;DR

This paper presents an improved quantum mechanical model of atomic cascades in muonic and hadronic hydrogen atoms, accurately predicting X-ray yields and energy distributions by incorporating detailed cross sections for various scattering processes.

Contribution

It introduces an enhanced cascade model with new quantum mechanical calculations for cross sections, covering principal quantum numbers up to 8 and energies above 0.01 eV.

Findings

X-ray yields match experimental data

Kinetic energy distributions are accurately modeled

Enhanced understanding of atomic cascade processes

Abstract

The atomic cascade in $\mu^- p$ and $\pi^- p$ atoms has been studied with the improved version of the extended cascade model in which new quantum mechanical calculations of the differential and integral cross sections of the elastic scattering, Stark transitions and Coulomb de-excitation have been included for the principal quantum number values $n\le 8$ and the relative energies $E \ge 0.01$ eV. The $X$-ray yields and kinetic energy distributions are compared with the experimental data.