Intrashell transitions in Rydberg atom induced by distant collision wi
th charged particle are considered as a quantum close coupling problem
with n(2) channels included. The closed-form exact solution for the i
nitial ns slate of H atom is obtained based on efficient use of the Fo
ck's O(4) symmetry group. The results are applicable to the Rydberg at
om with non-Coulomb core within the quasihydrogenic approximation. It
agrees well with our previous classical trajectory (pseudo) Monte Carl
o results. By this the binning procedure conventionally used in the Mo
nte Carlo calculations is justified.