Analysis of the mass and width of the $X^{\ast }(3860)$ with QCD sum rules

Abstract

In this article, we tentatively assign the $X^{\ast }(3860)$ to be the $C{\gamma }_5\otimes {\gamma }_{5}C$ type scalar tetraquark state, study its mass and width with the QCD sum rules, special attention is paid to calculating the hadronic coupling constants $G_{X{\eta }_c\pi }$ and $G_{XDD}$ concerning the tetraquark state. We obtain the values $M_X=3.86\pm 0.09\mathrm{GeV}$ and ${\Gamma }_X=202\pm 146\mathrm{MeV}$, which are consistent with the experimental data. The numerical result supports assigning the $X^{\ast }(3860)$ to be the $C{\gamma }_5\otimes {\gamma }_{5}C$ type scalar tetraquark state.

Comments: 12 pages, 6 figures