Asymptotic Symmetry, Lagrangian Gauge Model, and thePVVVertex

Abstract

We study a model in which $\mathrm{SU}\left(3\right)\mathrm{}$ breaking in the $\mathrm{PVV}$ vertex is determined by the requirement of asymptotic nonet symmetry. A vector-meson gauge model is constructed which satisfies this asymptotic symmetry condition. The model also incorporates the usual asymptotic symmetry result for the $\mathrm{VPP}$ vertex, the field-current identities, and the algebra of fields. Nevertheless, we obtain a second Weinberg sum rule of the Das-Mathur-Okubo form, and consequently, a quadratic mass formula as in a mass-mixing model. The predictions of the model are compared with available experimental data on meson decays involving the $\mathrm{PVV}$ vertex. The predicted rates for radiative decays of vector mesons are also given.