The vector glueball: An algebraic approach.

Abstract

The ${J}^{\mathrm{PC}}$${=1}^{\mathrm{\ensuremath{-}}\mathrm{\ensuremath{-}}}$ vector glueball is considered in addition to the usual ${\mathrm{SU}}_{\mathrm{F}}$(4) multiplet consisting of \ensuremath{\rho}, ${K}^{\mathrm{*}}$, \ensuremath{\omega}, \ensuremath{\varphi}, ${D}^{\mathrm{*}}$, ${F}^{\mathrm{*}}$, and J/\ensuremath{\psi} using an algebraic approach consistent with QCD. We calculate the glueball mass to be \ensuremath{\simeq}1.75 GeV and its width to be \ensuremath{\gtrsim}3 MeV. It mixes substantially with J/\ensuremath{\psi}. The vector glueball decays copiously into \ensuremath{\rho}\ensuremath{\pi} and ${K}^{\mathrm{*}}$K\ifmmode\bar\else\textasciimacron\fi{} when compared to its decay into KK\ifmmode\bar\else\textasciimacron\fi{}. The \ensuremath{\Delta}I=1 isovector radiative decays of the vector mesons are predicted. In addition \ensuremath{\Gamma}(${K}^{\mathrm{*}0}$\ensuremath{\rightarrow}${K}^{0}$+\ensuremath{\gamma}) is predicted to be 138 keV. We neglect intermultiplet mixing.