Single-electron capture in collisions of positively charged muons with hydrogen and helium atoms

Abstract

The prior form of the three-body boundary-corrected first Born (CB1-3B) method is used to calculate the state-selective total cross sections for single-electron capture into 1s, 2s and 2s final states of a fast muon projectiles from a ground-state hydrogen and helium targets at energies 10 keV to 1 MeV. For helium target, the frozencore approximation and the independent particles model were used. The state-summed total cross sections for electron capture into all final states of the muonium systems (?+,e) are obtained by applying the Oppenheimer (n?3) scaling law. Unfortunately, there are no available experimental data, so our theoretical results were compared to the CDW-3B theoretical results.