Glueball-$Q\bar{Q}$ mixing and Okuba-Zweig-Iizuka rule violation in the hadronic decays of heavy quarkonia

Abstract

We investigate the correlations between the scalar meson configurations and Okuba-Zweig-Iizuka (OZI) rule violations in the hadronic decays of heavy quarkonia, e.g. $J/\ddot{I}ˆ$ and $\hat{I}\yen$, into isoscalar vector meson ($\ddot{I}•$ and $\ddot{I}‰$) and scalar mesons ($f_0(1710)$, $f_0(1500)$, and $f_0(1370)$). It shows that the dramatic change of the values of the branching ratio fraction of $\ddot{I}•f_0/\ddot{I}‰f_0$ from low (e.g. in $J/\ddot{I}ˆ$ decays) to high energies (e.g. in $\hat{I}\yen$ decays) will not only test the glueball-$Q\bar{Q}$ mixings, but also provide important information about the mysterious OZI-rule violations within the scalars.

More discussions about the relation between the meson loop and OZI-rule violations are included; Revised version to appear in Phys. Lett. B