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

Multichannel Coulomb Scattering with Asymptotic Non-adiabatic Coupling