  The multi-channel Coulomb scattering problem in the adiabatic representation
is considered.
  The non-adiabatic coupling matrix is assumed to have
  a non-zero asymptotic behavior at large internuclear separations. The
asymptotic solutions at large inter-nuclear distances are {therefore}
constructed. The asymptotic boundary conditions with S-matrix and K-matrix for
the scattering problem are formulated on the basis of constructed asymptotic
solutions.
