The quarkonia-glueball structure of $\eta$ , $\eta^{'}$ and $\eta(1410)$ revisited

Abstract

The quarkonia-glueball structure of $\eta$ , $\eta^{'}$ and $\eta(1440)$ is phenomenologically deduced from the updated world average data including two-photon decays of pseudoscalar mesons, radiative decays between pseudoscalar and vector mesons, decays of $J/\psi$ into a vector and a pseudoscalar meson, and radiative decays of $J/\psi$ . Corrections due to SU(3) flavor symmetry breaking, non-ideal $\omega$ - $\phi$ mixing, double OZI and electromagnetic amplitudes of $J/\psi$ decays into a vector and a pseudoscalar meson, and three-gluon-annihilation amplitudes of radiative decays of $J/\psi$ are included in our analysis. Some predictions on the decays involving $\eta(1410)$ are presented, which can be tested at Beijing Electron Positron Collider/Beijing Spectrometer (BEPC/BES) with 50 million $J/\psi$ events.