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The Lee model is modified by the insertion of an elementary particle into the second sector with the coupling U↔V+θ. The UVθ vertex function, the propagators, and all the renormalization constants of the theory are evaluated exactly, and the Vθ scattering amplitude is given when both incoming and outgoing θ particles are off the energy shell.
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J. B. Bronzan (1965) studied this question.
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