Discrete spectrum of the Schrödinger operator of a system of three fermions on one dimensional lattice

We consider the three-particle Schrödinger operator $H_\mu(K) = H_0(K) - \mu(V_1 + V_2 + V_3)$, $K \in \mathbb{T} = (-\pi, \pi]$, associated of a system of three fermions with potential interacting neighboring sites on one dimensional lattice $\mathbb Z$, where $\mu$ is energy of interaction of two fermions. We prove that for sufficiently large $\mu$ the operator $H_\mu(0)$ has a simple eigenvalue below the essential spectrum.