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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.KEYWORDS Schr ödinger operator
Muminov et al. (Fri,) studied this question.