SU3Mass Formula for Bosons andX0−ηMixing

Abstract

The possibility of a linear ${\mathrm{SU}}_{3}$ mass formula for bosons and consequent non-negligible ${X}^{0}\ensuremath{-}\ensuremath{\eta}$ mixing is considered. The existence of ${X}^{0}\ensuremath{-}\ensuremath{\eta}$ mixing is indicated by the experimental ratio of the ${\ensuremath{\pi}}^{0}\ensuremath{\rightarrow}2\ensuremath{\gamma}$ and $\ensuremath{\eta}\ensuremath{\rightarrow}2\ensuremath{\gamma}$ rates. A phenomenological ${\mathrm{SU}}_{3}$ analysis, with a minimum of dynamical assumptions, of the electromagnetic decay modes $P\ensuremath{\rightarrow}2\ensuremath{\gamma}$, $V\ensuremath{\rightarrow}P+\ensuremath{\gamma}$, and $P\ensuremath{\rightarrow}V+\ensuremath{\gamma}$ is made with the purpose of distinguishing between the linear and quadratic mass formulas.