RadiativeX0Decays in BrokenSU(3)

Abstract

The radiative decays of the ${X}^{0}$ meson are analyzed in the framework of an effective Lagrangian with vector-meson dominance, using vector gauge fields with current mixing and assuming ${X}^{0}$ to be a unitary singlet. The underlying $\mathrm{VVP}$ strong interaction obeys octet-broken $\mathrm{SU}(3)$ symmetry. The model is shown to predict branching ratios different from those obtained in the $\ensuremath{\eta}\ensuremath{-}{X}^{0}$ mixing model. An analysis of the experimental situation is presented, and the relevance of the ${X}^{0}\ensuremath{\rightarrow}2\ensuremath{\gamma}$, ${X}^{0}\ensuremath{\rightarrow}\ensuremath{\omega}\ensuremath{\gamma}$ partial decay modes for distinguishing between different theoretical models is pointed out.