Effect of polarization potential on μ+-H inelastic scattering

Abstract

This work deals with the effect of polarization potential on inelastic scattering of muons by hydrogen atom, μ+-H, as a two-channel problem in which the elastic and muonium (in 1s state) formation channels are open for seven values of the total angular momentum at energies between 1 and 10 keV. For this purpose, we improved the coupled static approximation by “switching on” the polarization potential of hydrogen atom (in 1s state) to calculate elastic and muonium formation cross-sections of μ+-H inelastic scattering. We use the Lipmann–Swinger equation and an iterative numerical method to obtain the computational code. This can be done through calculating the reactance matrix, then obtaining the transition matrix that gives partial and total cross-sections. Our results and those determined by previous authors are in reasonable agreement.