Settling the $Z_c(4600)$ in the charged charmonium-like family

Abstract

Very recently LHCb reported the evidence of a new charged charmonium-like structure in the $J/\psi {\pi }^{-}$ invariant mass spectrum near 4600 MeV. In this work we investigate this structure together with three other charged charmonium-like states, the $Z_c(3900)$, $Z_c(4020)$, and $Z_c(4430)$. Our results suggest that the two higher states can be established as the first radial excitations of the two lower ones, all of which have the quantum numbers $J^{PC}=1^{+-}$. We propose to search for more relationship among exotic hadrons in order to better understand them.

2 figures. Comments and suggestions are welcome

References in corpus (12)

• Multiquark Resonances
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• The Vector and Axial-Vector Charmonium-like States
• Excited heavy tetraquarks with hidden charm
• A Theory of X and Z Multiquark Resonances
• Analysis of the $Z(4430)$ as the first radial excitation of the $Z_c(3900)$
• Treating $Z_c(3900)$ and $Z(4430)$ as the ground-state and first radially excited tetraquarks
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=1^{+-}$

Cited by in corpus (12)

• Hadronic molecules in B decays
• Analysis of the triply-heavy baryon states with the QCD sum rules
• Revisit the tetraquark candidates in the $J/\psi J/\psi$ mass spectrum
• Analysis of the hidden-bottom tetraquark mass spectrum with the QCD sum rules
• Assignments of the $X(4140)$, $X(4500)$, $X(4630)$ and $X(4685)$ based on the QCD sum rules
• Triply-charmed hexaquark states with the QCD sum rules
• Modifications on parameters of $Z(4430)$ in a dense medium
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Analysis of the ${\overline{\Xi }}_{cc}{\Xi }_{cc}$ hexaquark molecular state with the QCD sum rules
• 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