Method of interpolating functions and low-energy properties of three bosons in resonance region

According to the basic idea of the method of interpolating functions the two-particle off-energy-shell scattering amplitude is considered as a limit of a series of amplitude of scattering on a series of cut-off potentials. For separable potential with separable variables an explicit formula is written for the scattering amplitude function. This formula is applied to study of the problem of three-particle motion in the resonance region