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In this paper, a new type of hybrid state, which consists of two valence quarks and two valence antiquarks together with a valence gluon, the gluonic tetraquark states, are investigated. Twenty-four currents of the the gluonic hidden-charm tetraquark states in 3c₂ ₐ8c₆3c₂ ₐ^ configuration are constructed, and their mass spectrum are evaluated in the framework of QCD sum rules with quantum numbers of JP=0^+, 0^-, 1^-, and 1^+. The nonperturbative contributions up to dimension 8 are taken into account. The results indicate that there may be exist 14 gluonic hidden-charm tetraquark states, and their corresponding hidden-bottom partners are also evaluated. The possible production and decay modes of the gluonic tetraquark states are analyzed, which are hopefully measurable in BESIII, BELLEII, PANDA, Super-B, and LHCb experiments.
Bing-Dong Wan (Fri,) studied this question.