The muon catalyzed fusion cycle in mixtures of deuterium and tritium is of particular interest due to the observation of high fusion yields. In the D--T mixture, the most serious limitation to the efficiency of the fusion chain is the probability of muon sticking to the \alpha -particle produced in the nuclear reaction. An accurate kinetic treatment has been applied to the muonic helium atoms formed by a muon sticking to the \alpha -particles. In this work accurate rates for collisions of \alpha \mu ⁺ ions with hydrogen atoms have been used for calculation of muon stripping probability and the intensities of X-ray transitions by solving a set of coupled differential equations numerically. Our calculated results are in good agreement with experimental data available in literature.

PACS numbers: 36.10.--k, 25.60.Pj, 31.70.Hq