Axialvector tetraquark candidates for the $Z_c(3900)$, $Z_c(4020)$, $Z_c(4430)$, $Z_c(4600)$

Abstract

In this paper, we construct the axialvector and tensor current operators to investigate the ground state tetraquark states and the first radially excited tetraquark states with the quantum numbers $J^{PC}=1^{+-}$ via the QCD sum rules systematically, and observe that there are one axialvector tetraquark candidate for the $Z_c(3900)$ and $Z_c(4430)$, two axialvector tetraquark candidates for the $Z_c(4020)$, three axialvector tetraquark candidates for the $Z_c(4600)$.

15 pages, 6 figures

References in corpus (14)

• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• A Theory of X and Z Multiquark Resonances
• Determination of spin and parity of the $Z_c(3900)$
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Analysis of the scalar and axial-vector heavy diquark states with QCD sum rules
• Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks
• The decay width of the $Z_c(3900)$ as an axialvector 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
• Settling the $Z_c(4600)$ in the charged charmonium-like family
• Analysis of strong decays of the $Z_c(4600)$ with the QCD sum rules
• Analysis of the tensor-tensor type scalar tetraquark states with QCD sum rules

Cited by in corpus (17)

• Hadronic molecules in B decays
• Tetraquark candidates in the LHCb's di-$J/\psi$ mass spectrum
• Analysis of the hidden-charm tetraquark molecule mass spectrum with the QCD sum rules
• Analysis of the $Z_{cs}(3985)$ as the axialvector tetraquark state
• Analysis of the hidden-charm tetraquark mass spectrum with the QCD sum rules
• Analysis of the triply-heavy baryon states with the QCD sum rules
• Revisit the tetraquark candidates in the $J/\psi J/\psi$ mass spectrum
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules
• Analysis of the 1S and 2S states of the ${\Lambda }_Q$ and ${\Xi }_Q$ with the QCD sum rules
• Triply-charmed hexaquark states with the QCD sum rules
• The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons
• 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
• The ground states and first radial excitations of the vector tetraquark states with explicit P-waves via the QCD sum rules
• Does vacuum saturation work for the higher dimensional vacuum condensates in the QCD sum rules?
• The strong coupling $g_{XJ/\psi \varphi }$ of $X(4700)\to J/\psi \varphi$ in the light-cone sum rules