Decipher the width of the $X(3872)$ via the QCD sum rules

Abstract

In this work, we take the $X(3872)$ as the hidden-charm tetraquark state with both isospin $I=0$ and $1$ components, then investigate the strong decays $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$, $J/\psi \omega$, ${\chi }_{c1}{\pi }^0$, $D^{\ast 0}{\bar{D}}^0$ and $D^0{\bar{D}}^0{\pi }^0$ with the QCD sum rules. We take account of all the Feynman diagrams, and acquire four QCD sum rules based on rigorous quark-hadron duality. We obtain the total decay width about $1\mathrm{MeV}$, which is in excellent agreement with the experiment data ${\Gamma }_X=1.19\pm 0.21\mathrm{MeV}$ from the Particle Data Group, it is the first time to reproduce the tiny width of the $X(3872)$ via the QCD sum rules, which supports assigning the $X(3872)$ as the hidden-charm tetraquark state with the $J^{PC}=1^{++}$.

arXiv comment12 pages, 4 figures

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Cited by in corpus (9)

• Exotic tetraquarks at the HL-LHC with JETHAD: A high-energy viewpoint
• Dispersive analysis of the isospin breaking in the $X(3872)\to J/\psi {\pi }^{+}{\pi }^{-}$ and $X(3872)\to J/\psi {\pi }^{+}{\pi }^0{\pi }^{-}$ decays
• Rare ${\Lambda }_c$ decays and new physics effects
• Strong decays of the fully-charm tetraquark states with explicit P-waves via the QCD sum rules
• Constrain the ${\chi }_{cJ}\to D^{(\ast )}{\bar{D}}^{(\ast )}$ effective couplings via the $X(3872)\to {\pi }^0{\chi }_{cJ}$ decays
• The charmonium-like exotic hadron productions in $e^{+}{e}^{-}$ collisions at the BESIII energy with the PACIAE model
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Baryons and baryoniums in the perspective of QCD sum rules
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules