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

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.