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.

12 pages, 6 figures

References in corpus (10)

• Big-Bang Nucleosynthesis
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• Strong decays of higher charmonium states into open-charm meson pairs
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• Vector hidden-bottom tetraquark candidate: $Y(10750)$
• New charged resonance $Z_c^{-}(4100)$: the spectroscopic parameters and width
• Vector tetraquark state candidates: $Y(4260/4220)$, $Y(4360/4320)$, $Y(4390)$ and $Y(4660/4630)$
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules
• Analysis of the ${\Lambda }_c(2860)$, ${\Lambda }_c(2880)$, ${\Xi }_c(3055)$ and ${\Xi }_c(3080)$ as D-wave baryon states with QCD sum rules
• Charmonium states in a coupled-channel model
• Analysis of the $X(3842)$ as a D-wave charmonium meson
• Scalar or vector tetraquark state candidate: $Z_c(4100)$
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold