$N\theta$ sector of the Lee model with form factor belonging to the class of entire functions

Properties of the Green function of $V$-particle in the Lee model are investigated. It is proved that there is no ghost states in the $N\theta$-sector of the model if the elementary length $\displaystyle{l\geq \frac{1}{\mu}\exp \left\{-\frac{1}{g_{\tau}^2}\right\}}$. The Green function of the $V$-particle possesses an infinite sequence of poles on the second Riemannian sheet of the complex energy plane.