Pseudoscalar glueball mass from $η$-$η'$-$G$ mixing

Details Pseudoscalar glueball mass from $η$-$η'$-$G$ mixing Pseudoscalar glueball mass from $η$-$η'$-$G$ mixing

2008-11-16

arxiv.org/abs/0811.2577v3

Phys.Rev.D79:014024,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages no figure, version to appear in PRD

Scientific paper

10.1103/PhysRevD.79.014024

We deduce the mass of the pseudoscalar glueball $G$ from an $\eta$-$\eta'$-$G$ 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.

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