Abstract
The process of muonium ( mu +, e) formation of electron capture mechanism in collisions of positive mesons with atomic systems is considered at high energies. The continuum distorted wave (CDW) method is used for calculation of the cross sections for mu +-H and mu +-He electron capture reactions from 10 keV to 1 MeV. The calculated cross sections are compared with those for electron capture from the same atomic systems by protons.

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