Rotational 1 -> 0 transition in muonic hydrogen-helium molecular ion induced by Auger conversion

The rotational J = 1 --> J = 0 transition in muonic molecular ion (dmu(3)He)(J)(-+) induced by external Auger effect in collision with deuterium atom is considered. The energy dependence of the corresponding cross section and reaction rate is calculated within the quasi-classical approximation. The reaction rate weakly depends on the collision energy and is of the order of 10(10) s(-1) (normalized to the liquid hydrogen density). Reaction rates are calculated for different isotope compositions of the ion range between 10(9) s(-1) and 10(11) s(-1). A discussion of the results from the point Of view of the Born and eikonal approximation is also presented.