Eigenvalues of the Schrödinger Operator Corresponding to a System of Three Fermions on a One Dimensional Lattice

We consider the three-particle Schrödinger operator \(H_{\mu}(K),\,K\in\mathbb{T},\) associated with a system of three fermions interacting neighboring sites on one dimensional lattice \(\mathbb{Z}\) . We prove that for sufficiently large \(\mu\) the operator \(H_{\mu}(\pi)\) has a simple eigenvalue outside the essential spectrum.