Born method in the problem of going-act of the term into continuous spectrum through a sloped boundary

In the framework of the quantum version of the Demkov-Osherov model, some cases of mutual location of the term of the system and the sloped boundary of continuous spectrum are considered. The problem is solved by the Born method, which means the study of main terms in the asymptotics of different quantities of interest with respect to the parameter √ msub(e)/M (msub(e) being the electron mass, M the reduced mass of atoms)