The processes of Coulomb deexcitation and quasiresonant charge exchange hav
e been considered in the framework of the asymptotic theory of the nonadiab
atic transitions. The approach used is scrutinized and improved in the ligh
t of recent critical statements. The unambiguous agreement between differen
t calculations for energies epsilon>0.5 eV proves the approximation used to
be valid. [S1050-2947(98)08511-4].