Spectral properties discrete Schrodinger operator corresponding to the Hamiltonian of three particle system

The talk is devoted to the study spectral properties of Schrödinger operators corresponding to systems of three arbitrary particles on a $d$-dimensional lattice that particles interact via pair-wise contact and short-range attraction potentials. We give new results on existence conditions of eigenvalues and an estimation for a lower eigenvalue of the Schrödinger operator.