Lee Model with an UnstableV-Type Particle

The solution is given to a modified Lee model in which there is a resonance having the quantum numbers of the usual $V$ particle. It is demonstrated that all channels having the same quantum numbers are coupled by the integral equations; in particular, "unphysical" amplitudes involving unstable external particles are coupled to the physical amplitudes through solutions to homogeneous integral equations of the Omnes-Muskhelishvili type.