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

$N\theta$ 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 $\displaystyle{l\geq \frac{1}{\mu}\exp \{-\frac{1}{g_{\tau}^2}\}}$. The Green function of the $V$-particle possesses an infinite sequence of poles on the second Riemannian sheet of the complex energy plane.

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

Citation: F. Kh. Abdullaev, A. Yu. Yumatov, “$N\theta$ sector of the Lee model with form factor belonging to the class of entire functions”, TMF, 22:2 (1975), 231–235; Theoret. and Math. Phys., 22:2 (1975), 163–166

Citation in format AMSBIB
\Bibitem{AbdYum75} \by F.~Kh.~Abdullaev, A.~Yu.~Yumatov \paper $N\theta$ sector of the Lee model with form factor belonging to the class of entire functions \jour TMF \yr 1975 \vol 22 \issue 2 \pages 231--235 \mathnet{http://mi.mathnet.ru/tmf3607} \transl \jour Theoret. and Math. Phys. \yr 1975 \vol 22 \issue 2 \pages 163--166 \crossref{https://doi.org/10.1007/BF01036321}