Rotational J = 1 → J = 0 de-excitation of muonic molecules ( 3 Heµt) ++ J , induced by ( 3 Heµh) ++ 1 -H collisions, where h = p, d, t and H is the respective hydrogen isotope atom (H, D, T), is investigated. The corresponding cross-sections and reaction rates are calculated in the frame of the DWBA approximation for a range of collision energies from 0.001 eV to 0.5 eV. Many narrow shape resonances are found below 0.15 eV. Nonresonant transition rates, normalized to the liquid hydrogen density, are practically energy independent and equal to about 4 × 10 11 s −1 for ( 3 Heµp) ++ 1 -H, 10 10 s −1 for ( 3 Heµd) ++ 1 -D and 4•10 9 s −1 for ( 3 Heµt) ++ 1 -T collisions. Cross-section for elastic ( 3 Heµp) ++ 1 -H scattering as a function of collision energy is also presented.

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Rotational J"1PJ"0 transitions in (He h) ( muonic molecular ions (where He and h are helium and hydrogen isotopes, respectively), induced by external Auger process in collision with hydrogen isotope atoms are considered. The obtained reaction rates, normalized to liquid hydrogen density, range between 3.4 · 10s\ and 11.2 · 10s\ for different isotope combinations. Rotational state populations of He h in hydrogen isotope-helium mixtures are also calculated.

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