Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing

Abstract

We deduce the mass of the pseudoscalar glueball $G$ from an $\eta$-${\eta }^{\prime }$-$G$ mixing formalism based on the anomalous Ward identity for transition matrix elements. With the inputs from the recent KLOE experiment, we find a solution for the pseudoscalar glueball mass around $(1.4\pm 0.1)$ GeV, which is fairly insensitive to a range of inputs with or without Okubo-Zweig-Iizuka-rule violating effects. This affirms that $\eta (1405)$, having a large production rate in the radiative $J/\Psi$ decay and not seen in $\gamma \gamma$ reactions, is indeed a leading candidate for the pseudoscalar glueball. Other relevant quantities including the anomaly and pseudoscalar density matrix elements are obtained. The decay widths for $G\to \gamma \gamma$, ${\ell }^{+}{\ell }^{-}$ are also predicted.

12 pages no figure, version to appear in PRD

References in corpus (4)

• Measurement of the pseudoscalar mixing angle and ${\eta }^{\prime }$ gluonium content with KLOE detector
• Gluonic contribution to $B\to {\eta }^{(\prime )}$ form factors
• Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios

Cited by in corpus (3)

• A global fit to determine the pseudoscalar mixing angle and the gluonium content of the eta' meson
• eta(1405) in a chiral approach based on mixing of the pseudoscalar glueball with the first radial excitations of eta and eta'
• Scalar and Pseudoscalar Glueballs