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 $Z_c(4600)$.

arXiv comment15 pages, 6 figures

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• 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