Mass spectra of $$ {\Lambda}_Q{\overline{\Sigma}}_Q $$ hexaquark states in QCD sum rules

A

bstract

Recently, the BESIII Collaboration indicate that no

bound-state with a mass near threshold in the range 4715–4735 MeV was observed. In order to determine the plausible mass region of the states in this structure, we calculate the mass spectrum of the

$$ {\Lambda}_c{\overline{\Sigma}}_c $$ Λ c Σ ¯ c

configuration with the method of QCD sum rules. Two linearly independent interpolating currents are constructed, and contributions from nonperturbative condensates up to dimension 12 are included in the numerical results. Consequently, we obtain the masses of the candidate states with quantum numbers J ^P = 0 ⁻ , 0 ⁺ , 1 ⁻ , 1 ⁺ . Our results show that the central values of the

$$ {\Lambda}_c{\overline{\Sigma}}_c $$ Λ c Σ ¯ c

ground-state masses lie around the 5 . 8 GeV region, which do not support them as bound states and consistent with the findings reported by the BESIII Collaboration. Furthermore, we compute the mass spectrum of the

$$ {\Lambda}_b{\overline{\Sigma}}_b $$ Λ b Σ ¯ b

states with quantum numbers J ^P = 0 ⁻ , 0 ⁺ , 1 ⁻ , 1 ⁺ , which could be served as hidden-bottom candidates in the experimental detecting.