Abstract:
In the present paper, we obtained the results that generalize the BBK-approximation, well known in the physical literature, in a situation where particles in subsystems can approach each other. The results obtained allow one to describe the asymptotics of a few-body Coulomb system ($N=3.4$) in the case when the subsystem is in a state of continuous spectrum, as well as in the case when the subsystem (two or three particles) is in a bound state.
Key words and phrases:few-body quantum systems, Coulomb pair potentials, bound states in subsystems, continuous spectrum eigenfunctions asymptotics.