Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules

Abstract

In this work, we study the $1^{--}$ double-gluon charmonium ($\bar{c}ggc$) and bottomonium ($\bar{b}ggb$) hybrids in terms of QCD sum rules. We find that the mass of $\bar{c}ggc$ hybrid lies in $M_{H_c}$ = $5.33\sim 5.90$ GeV, while in the bottom sector the mass of $\bar{b}ggb$ hybrid may be situated in $M_{H_b}=11.20\sim 11.68$ GeV. The contributions up to dimension eight at leading order of ${\alpha }_s$ (LO) in the operator product expansion are taken into account in the calculation. The double-gluon charmonium hybrid meson predicted in this work can decay into a pair of charmed mesons or a pair of charmed mesons together with a light meson. Especially, we propose to search for $\bar{c}ggc$ hybrid with $I^G(J^{PC})=0^{-}(1^{--})$ in their decay channels $D\bar{D}/D^{\ast }\bar{D}/D^{\ast }{\bar{D}}^{\ast }$ with P wave and $D^{\ast }{\bar{D}}^{\ast }\pi /D^{\ast }{\bar{D}}^{\ast }\eta /D\bar{D}\rho /D\bar{D}\omega$ with S wave, which may be accessible in Belle II, PANDA, Super-B, GlueX, and LHCb experiments.

Comments: 25 pages, 7 figures, 4 tables; revised version to be published in PRD