About Rotational Transitions and Muon Transfer in Muonic Hydrogen–Helium Systems

Abstract

Rotational J=1→J=0 transitions in muonic molecule, (3Heμd)J++, in [(3Heμd)++,2e]–D and [(3Heμd)++,e]+–D collisions are considered. The corresponding cross sections and reaction rates are calculated in the frame of the semi-classical approximation using He–H(H+) and He+–H(H+) interaction potentials. The results obtained are about two orders of magnitudes smaller than the corresponding quantum-mechanical ones calculated previously by the authors using plane-waves for description of relative motion of the subsystems. Reaction rates for radiative and Auger muon transfer from hydrogen to helium are also calculated semi-classically. The corresponding results are close to the quantum-mechanical ones published elsewhere.