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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1975 Volume 22, Number 2, Pages 231–235 (Mi tmf3607)

This article is cited in 1 paper

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

F. Kh. Abdullaev, A. Yu. Yumatov


Abstract: 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.

Received: 04.12.1973


 English version:
Theoretical and Mathematical Physics, 1975, 22:2, 163–166


© Steklov Math. Inst. of RAS, 2026