The lowest hidden charmed tetraquark state from QCD sum rules

Abstract

In this article, we study the $S\bar{S}$ type scalar tetraquark state $cq\bar{c}\bar{q}$ in details with the QCD sum rules by calculating the contributions of the vacuum condensates up to dimension-10 in the operator product expansion, and obtain the value $M_{Z_c}=\left(3.82_{-0.08}^{+0.08}\right)\mathrm{GeV}$, which is the lowest mass for the hidden charmed tetraquark states from the QCD sum rules. Furthermore, we calculate the hadronic coupling constants $G_{Z_c{\eta }_c\pi }$ and $G_{Z_{c}DD}$ with the three-point QCD sum rules, then study the strong decays $Z_c\to {\eta }_c\pi ,DD$, and observe that the total width ${\Gamma }_{Z_c}\approx 21\mathrm{MeV}$. The present predictions can be confronted with the experimental data in the futures at the BESIII, LHCb and Belle-II.

arXiv comment15 pages, 8 figures. arXiv admin note: substantial text overlap with arXiv:1312.1537, arXiv:1312.2652

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Cited by in corpus (13)

• Analysis of the $P_c(4380)$ and $P_c(4450)$ as pentaquark states in the diquark model with QCD sum rules
• Tetraquark state candidates: $Y(4260)$, $Y(4360)$, $Y(4660)$ and $Z_c(4020/4025)$
• Analysis of the ${\frac{1}{2}}^{\pm }$ pentaquark states in the diquark model with QCD sum rules
• Analysis of the $Z_c(4200)$ as axial-vector molecule-like state
• Scalar tetraquark state candidates: $X(3915)$, $X(4500)$ and $X(4700)$
• Analysis of the strong decay $X(5568)\to B_s^0{\pi }^{+}$ with QCD sum rules
• 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 ${\Lambda }_c(2625)$ and ${\Xi }_c(2815)$ with QCD sum rules
• Analysis of the mass and width of the $X^{\ast }(3860)$ with QCD sum rules
• Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules
• The scalar and pseudoscalar hidden-charm tetraquark states with QCD sum rules