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

Abstract

Stimulated by the renewed observation of $D_{s0}^{\ast }(2317)$ signal and its updated mass value $2318.3\pm1.2\pm1.2~\mbox{MeV}/c^{2}$ in the process $e^{+}{e}^{-}\to D_s^{\ast +}{D}_{s0}^{\ast }(2317{)}^{-}+c.c.$ by BESIII Collaboration, we devote to reinvestigate $D_{s0}^{\ast }(2317)$ 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 $D_{s0}^{\ast }(2317)$ 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 $D_{s0}^{\ast }(2317)$ considering the uncertainty, and then the possibility of $D_{s0}^{\ast }(2317)$ 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.

11 pages, 10 figures, the version to appear in Phys. Lett. B

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