Glueballs: Charmonium Decay and $\bar{p}p$ Annihilation

Abstract

The vector glueball $O$, made of 3 valence gluons, is expected to be ``clean": it mixes less with quarkonia, but mediates OZI violations. The recent $0^{++}$ glueball candidate and the persistence of the $J/\psi ,{\psi }^{\prime }\to \rho \pi$ puzzle suggest $m_O\simeq m_{J/\psi }$, with mixing angle $\sim 2^{\circ }-4^{\circ }$, hence $\Gamma (O\to \rho \pi$, $K^{+}{K}^{-}$, $e^{+}{e}^{-})\sim$ MeV, few keV, few eV. Lower and upper bounds on ${\Gamma }_O$ can be argued from $e^{+}{e}^{-}\to \rho \pi$ energy scan data and the condition $B(O\to \rho \pi )>B(J/\psi \to \rho \pi )$. $O$ dominance may explain the ``large" OZI violation in ${}^1{S}_0(\bar{p}p)\to \varphi \gamma$ vs. $\omega \gamma$.

Comments: 12 pages REVTeX, 3 PS figures