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In the present work, we construct the diquark-antidiquark type four-quark currents to investigate the mass spectrum of the ground state hidden-charm-hidden-strange tetraquark states with the quantum numbers J^PC=0^++, 1^+-, 1^++ and 2^++ via the traditional QCD sum rules in a comprehensive way. We update old calculations, perform new calculations and analysis in a rigorous way, and take account of the net light-flavor SU (3) breaking effects in a consistent way. And we make more reasonable identifications for the X (3960), X (4140), X (4274), X (4500), X (4685) and X (4700) and supersede some old identifications. Furthermore, we consider our previous theoretical predictions, and make reasonable/suitable identifications of the new LHCb states hc (4000) and ₂₁ (4010).
Zhi-Gang Wang (Tue,) studied this question.