Fully charmed tetraquark states in 8₂₂ 8₂₂ color structure via QCD sum rules

Abstract Stimulated by the recent experimental results on the fully-charm tetraquark states, we systematically calculate the mass spectra of the fully-charm tetraquark states in 8₂₂ 8₂₂ 8 c c ¯ ⊗ 8 c c ¯ color configuration via QCD sum rules. By constructing nine 8₂₂ 8₂₂ 8 c c ¯ ⊗ 8 c c ¯ type currents with quantum numbers J^PC=0^-+, 0^--, 1^-+, 1^+-, 1^-- J PC = 0 - +, 0 - -, 1 - +, 1 + -, 1 - - and 2^++ 2 + +, we perform analytic calculation up to dimension six in the operator product expansion (OPE). We find the fully-charm tetraquark states with J^PC=1^+-, 2^++ J PC = 1 + -, 2 + + lie around 6. 48 ∼ 6. 62 GeV while the fully-charm tetraquark states with J^PC=0^-+, 0^--, 1^--, 1^-+ J PC = 0 - +, 0 - -, 1 - -, 1 - + are about 6. 85 ∼ 7. 02 GeV. Notably, the mass predictions for the cccc c c ¯ c c ¯ tetraquarks, specifically those with J^PC=2^++ J PC = 2 + +, align with the broad structure identified by LHCb. Moreover, the masses of fully-charm tetraquarks with J^PC=0^-+ J PC = 0 - + and 1^-+ 1 - + are anticipated to match closely with the mass of X (6900), considering the margin of error. Such findings hint at the presence of some 8₂₂ 8₂₂ 8 c c ¯ ⊗ 8 c c ¯ components within the di- J/ J / ψ structures observed by LHCb. The predictions for tetraquark states with J^PC=0^--, 1^+-, 1^-- J PC = 0 - -, 1 + -, 1 - - may be accessible in the future BelleII, Super-B, PANDA, and LHCb experiments.