On the compositeness criteria in field theories. - III

Rai Choudhury, S. ; Srivastava, P. K. (1967) On the compositeness criteria in field theories. - III Il Nuovo Cimento A (1965-1970), 47 (3). pp. 634-641. ISSN 0369-3546

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Related URL: http://dx.doi.org/10.1007/BF02738757


The equivalence of a composite particle with an elementary one with vanishing wave-function renormalization is proved in the three-particle sector of the Lee model. The composite model chosen is one in which, in addition to usual Lee-model Hamiltonian, a separable interaction is also present in the V-θ sector. This model, in the limit of vanishing wave function renormalization constant for the U particle, is shown to lead to results for the V-θ scattering amplitude and the renormalized UVθ coupling constant, which are identical to those obtained by Bronzan using an elementary U particle in the V-θ sector. No restriction is imposed thereby on the vertex renormalization constant.

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Deposited On:03 May 2011 11:10
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