Scalar Triple-Heavy Tetraquark States With Quark Content $cc\bar{c}\bar{s}$

In this paper, we study the scalar triple-heavy tetraquark states with quark content $cc\bar{c}\bar{s}$, ${\eta }_c{D}_s$ molecular state and $[cc{]}_{A(T)}[\bar{c}\bar{s}{]}_{A(T)}$ compact tetraquark states, by the QCD sum rule method. First, we construct the needed interpolating currents, $J^M(x)$, $J^{T_1}(x)$, and $J^{T_2}(x)$. Then, we derive the sum rules for the masses and the current coupling constants. Finally, we numerically analyze these sum rules, and find $m_M=4.9392_{-0.0817}^{+0.0851}GeV$, and ${\lambda }_M=2.8857_{-0.4928}^{+0.5729}\times {10}^{-2}Ge{V}^5$ for the mass and the current coupling constant of the ${\eta }_c{D}_s$ molecular state, $m_{T_1}=5.0774_{-0.0641}^{+0.0708}GeV$, and ${\lambda }_{T_1}=1.0436_{-0.1573}^{+0.1862}\times {10}^{-1}Ge{V}^5$ for the mass and the current coupling constant of the $[cc{]}_A[\bar{c}\bar{s}{]}_A$ compact tetraquark state, $m_{T_2}=5.0679_{-0.0721}^{+0.0839}GeV$, and ${\lambda }_{T_2}=2.0316_{-0.3119}^{+0.4119}\times {10}^{-1}Ge{V}^5$ for the mass and the current coupling constant of the $[cc{]}_T[\bar{c}\bar{s}{]}_T$ compact tetraquark state.