Stimulated by the renewed observation of $D_{ s0}^{ *}(2317)$ signal and its updated mass value $2318.3\pm1.2\pm1.2~\mbox{ MeV}/c^{ 2}$ in the process $e^{ +}e^{ -}\rightarrow D_{ s}^{ *+}D_{ s0}^{ *}(2317)^{ -}+c.c.$ by BESIII Collaboration, we devote to reinvestigate $D_{ s0}^{ *}(2317)$ as a $0^{ +}$ tetraquark state from QCD sum rules. Technically, four different possible currents are adopted and high condensates up to dimension $12$ are included in the operator product expansion (OPE) to ensure the quality of QCD sum rule analysis. In the end, we obtain the mass value $2.37^{ +0.50}_{ -0.36}~\mbox{ GeV}$ with the factorization parameter $\rho=1$ (or $2.23^{ +0.78}_{ -0.24}~\mbox{ GeV}$ with $\rho=3$) for the scalar-scalar current, which agrees well with the experimental data of $D_{ s0}^{ *}(2317)$ and could support its explanation as a $0^{ +}$ scalar-scalar tetraquark state. The final result for the axial-axial configuration is calculated to be $2.51^{ +0.61}_{ -0.43}~\mbox{ GeV}$ with $\rho=1$ (or $2.52^{ +0.76}_{ -0.52}~\mbox{ GeV}$ with $\rho=3$), which is still consistent with the mass of $D_{ s0}^{ *}(2317)$ considering the uncertainty, and then the possibility of $D_{ s0}^{ *}(2317)$ as a axial-axial tetraquark state can not be excluded. For the pseudoscalar-pseudoscalar and the vector-vector cases, their unsatisfactory OPE convergence makes that it is of difficulty to find rational work windows to further acquire hadronic masses.

Categories: hep-ph hep-ex

Revisiting $D_{s0}^{*}(2317)$ as a $0^{+}$ tetraquark state from QCD sum rules