Scattering in $e^- -(pe^-)$ and $\mu^- -(p\mu^-)$ systems: mass dependent and mass independent features of cross sections above the degenerated thresholds

TL;DR

This paper presents ab initio calculations of low-energy electron and muon scattering off hydrogen and muonic hydrogen, revealing mass-dependent and independent features of cross sections near excited state thresholds, including Gailitis-Dumburg oscillations.

Contribution

It introduces a detailed Faddeev-Merkuriev formalism incorporating induced dipole interactions for accurate scattering calculations.

Findings

Identification of Gailitis-Dumburg oscillations in cross sections

High-resolution cross section data near excited state thresholds

Mass-dependent and independent scattering features

Abstract

Ab initio calculation of low energy scattering of electrons (muons) off hydrogen (muonic hydrogen) are performed on the basis of Faddeev-Merkuriev (FM) equations. The explicit contribution of induced dipole interaction in the asymptotic behavior of the wave function components has been incorporated into FM formalism. Elastic and inelastic cross sections have been calculated with high energy resolution in the vicinity of $n=2,3$ exited states thresholds of respective atoms. The Gailitis-Dumburg oscillations are discovered in some of calculated cross sections.