Bootstrap Particles and Elementary Particles in theZ3=0 Limit

Satoru Saito, Tomoya Akiba · Progress of Theoretical Physics · 1965

Some exactly soluble models, such as the Lee- and Zachariasen-models, have been used to show the equivalence between composite particles defined by the ND-1 method and the condition of vanishing wave function renormalization constant imposed upon elementary particles. These models, however, do not allow to discuss composite particles produced through the bootstrap mechanism. Here a soluble model obtained by an extension of the Lee model is shown to allow such discussion, and the equivalence between one of the bootstrap conditions and the condition Z3=0 is explicitly proved. The argument is supplemented by a general remark which shows the equivalence for more general cases, at least, formally.

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