The point spectrum of the three-particle Schrödinger operator for a system comprising two identical bosons and one fermion on Z

We consider the Hamiltonian of a system of three quantum particles (two identical bosons and a fermion) on the one-dimensional lattice interacting by means of zero-range attractive or repulsive potentials.We investigate the point spectrum of the three-particle discrete Schr ödinger operator H(K), K ∈ T which possesses infinitely many eigenvalues depending on repulsive or attractive interactions, under the assumption that the bosons in the system have infinite mass.