SU 3-Invariant solutions to a reciprocal bootstrap model

Abstract

The possibility that the existing strongly interacting particles correspond to the simplest self-consistent solution of a dispersion-theoretic bootstrap model is considered. A generalization of the Chew reciprocal bootstrap model is applied to baryons. Three simple self-consistency requirements are postulated. It is shown that the Hermitean property of the unreduced elastic crossing matrix favors a low spin value for the ground-state baryon multiplet. Attention is then limited toSU3-invariant schemes of particles. The physical, octet-decuplet particle set, known from several previous works to satisfy similar models, is a solution to the present model. The hypotheses that the ground-state baryon multiplet corresponds to anSU3 singlet, triplet, or sextet do not lead to a solution involving fewer particles than the octet-decuplet solution. TheF/D interaction angle in the octet-decuplet solution is 31.8°. There is a moderately strong attraction in theP1/2 states of the representation 10* in this solution.