Analysis of the hidden-charm tetraquark mass spectrum with the QCD sum rules

Abstract

In this article, we take the pseudoscalar, scalar, axialvector, vector, tensor (anti)diquark operators as the basic constituents, and construct the scalar, axialvector and tensor tetraquark currents to study the mass spectrum of the ground state hidden-charm tetraquark states with the QCD sum rules in a comprehensive way. We revisit the assignments of the $X$, $Y$, $Z$ states, such as the $X(3860)$, $X(3872)$, $X(3915)$, $X(3940)$, $X(4160)$, $Z_c(3900)$, $Z_c(4020)$, $Z_c(4050)$, $Z_c(4055)$, $Z_c(4100)$, $Z_c(4200)$, $Z_c(4250)$, $Z_c(4430)$, $Z_c(4600)$, etc in the scenario of tetraquark states in a consistent way based on the QCD sum rules. Furthermore, we discuss the feasibility of applying the QCD sum rules to study the tetraquark states and tetraquark molecular states (more precisely, the color-singlet-color-singlet type tetraquark states), which begin to receive contributions at the order $\mathcal{O}({\alpha }_s^0)$, not at the order $\mathcal{O}({\alpha }_s^2)$.

20 pages, 2 figures. arXiv admin note: text overlap with arXiv:1903.10895

References in corpus (26)

• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Can the X(3872) be a 1^{++} four-quark state?
• Search for new charmonium states in the processes e+ e- --> J/psi D(*) D(*) at sqrt{s} ~ 10.6 GeV
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• The Vector and Axial-Vector Charmonium-like States
• QCD Sum Rules for the X(3872) as a mixed molecule-charmoniun state
• A Theory of X and Z Multiquark Resonances
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• The decay width of the $Z_c(3900)$ as an axialvector tetraquark state in solid quark-hadron duality
• Interpretations for the X(4160) observed in the double charm production at B factories
• Landau equation and QCD sum rules for the tetraquark molecular states
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Strong decays of the $Y(4660)$ as a vector tetraquark state in solid quark-hadron duality
• Model-independent observation of exotic contributions to $B^0\to J/\psi K^{+}{\pi }^{-}$ decays
• Tetraquark-adequate formulation of QCD sum rules
• Analysis of the hidden-bottom tetraquark mass spectrum with the QCD sum rules
• The Hydrogen Bond of QCD
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules
• Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules
• Settling the $Z_c(4600)$ in the charged charmonium-like family
• Two-particle contributions and nonlocal effects in the QCD sum rules for the axialvector tetraquark candidate $Z_c(3900)$
• Tetraquark-adequate QCD sum rules for quark-exchange processes

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• The singly-charmed pentaquark molecular states via the QCD sum rules
• Study of isospin eigenstates of the pentaquark molecular states with strangeness
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• Analysis of the $T_{c\bar{s}}(2900)$ and related tetraquark states with the QCD sum rules
• Decipher the width of the $X(3872)$ via the QCD sum rules
• Two-particle contributions and nonlocal effects in the QCD sum rules for the axialvector tetraquark candidate $Z_c(3900)$
• Mass Predictions of Vector ($1^{--}$) Double-gluon Heavy Quarkonium Hybrids from QCD Sum Rules
• Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules
• Fully-heavy hexaquark states via the QCD sum rules
• Exotic tetraquarks at the HL-LHC with JETHAD: A high-energy viewpoint
• The decay widths of the $Z_{cs}(3985/4000)$ based on rigorous quark-hadron duality
• The strange cousin of the $Z_c(4020/4025)$ as tetraquark state
• Triply-charmed hexaquark states with the QCD sum rules
• Magnetic and quadrupole moments of the $Z_c(4020{)}^{+}$, $Z_c(4050{)}^{+}$, and $Z_c(4600{)}^{+}$ states in the diquark-antidiquark picture
• Analysis of the ${\overline{\Xi }}_{cc}{\Xi }_{cc}$ hexaquark molecular state with the QCD sum rules
• Modifications on parameters of $Z(4430)$ in a dense medium
• Tetraquark molecular states in the $D_s{\bar{D}}_{s1}$ and $D_s^{\ast }{\bar{D}}_{s0}^{\ast }$ mass spectrum
• $Z_c$ and $Z_{cs}$ systems with operator mixing at NLO in QCD sum rules
• Does vacuum saturation work for the higher dimensional vacuum condensates in the QCD sum rules?
• Analysis of the bottom-charm baryon states with QCD sum rules
• The ground states of hidden-charm tetraquarks and their radial excitations
• The ground states and first radial excitations of the vector tetraquark states with explicit P-waves via the QCD sum rules
• Mass spectrum of the hidden-charm hybrid states via the QCD sum rules
• Strong decays of the $P_{cs}(4338)$ and its high isospin cousin via the QCD sum rules
• Analysis of the hidden-charm pentaquark candidates in the $J/\psi p$ mass spectrum with QCD sum rules
• Two-body strong decays of the hidden-charm tetraquark molecular states via the QCD sum rules
• Systematic analysis of the D-wave charmonium states with the QCD sum rules