Advanced adiabatic approach to superlow-energy inelastic collisions of mesic atoms in excited states

The advanced adiabatic approach previously proposed for describing collision problems in atomic physics is extended to the specific case of mesic-atom collisions in the excited states n≥2. The method and the algorithm of the calculations are described. The calculations of the charge-exchange and Coulomb deexcitation rates in collisions of (pμ)_n, (dμ)_n, and (tμ)_n muonic atoms in the excited states n=3, 4, 5 with the hydrogen isotopes p, d, t are presented in comparison with the conventional adiabatic approach.