Some rare meson-decay modes in a relativistic quark model

Abstract

A version of the relativistic quark model with phenomenological form factors and prescriptions developed largely by Mitra and coworkers is here applied to the calculation of some rare meson-decay rates. First, vector-meson dominance is incorporated into the model and electromagnetic decay rates are computed for pseudoscalar and vector mesons. Then some three-body decays of the ${\ensuremath{\eta}}^{\ensuremath{'}}(958)$, ${A}_{1}(1070)$, and $E(1422)$ are considered. In general, reasonably good agreement with the available experimental evidence is obtained, without the introduction of any new parameters. It is found that the best over-all consistency is obtained if the ${\ensuremath{\eta}}^{\ensuremath{'}}(958)$ is assumed to be a pure SU(3) singlet, and the $E(1422)$ is taken to be an octet state with ${J}^{P}={1}^{+}$.