The point interactions in the problem of three quantum particles with internal structure

The problem of three quantum particles with internal structure is considered where the pair interactions are described in terms of two-channel Hamiltonians. It is proved that if parameters of the model are such that the total three-body Hamiltonian is semibounded, the Faddeev equations are of Fredholm type. The boundary value problems are formulated for the Faddeev differential equations which can be used for search of the scattering wave functions.