Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states

Abstract

We study the mass splittings of $Q_1{q}_2{\bar{Q}}_3{\bar{q}}_4$ ($Q=c,b$, $q=u,d,s$) tetraquark states with chromomagnetic interactions between their quark components. Assuming that $X(4140)$ is the lowest $J^{PC}=1^{++}$ $cs\bar{c}\bar{s}$ tetraquark, we estimate the masses of the other tetraquark states. From the obtained masses and defined measure reflecting effective quark interactions, we find the following assignments for several exotic states: (1) both $X(3860)$ and the newly observed $Z_c(4100)$ seem to be $0^{++}$ $cn\bar{c}\bar{n}$ tetraquarks; (2) $Z_c(4200)$ is probably a $1^{+-}$ $cn\bar{c}\bar{n}$ tetraquark; (3) $Z_c(3900)$, $X(3940)$, and $X(4160)$ are unlikely compact tetraquarks; (4) $Z_c(4020)$ is unlikely a compact tetraquark, but seems the hidden-charm correspondence of $Z_b(10650)$ with $J^{PC}=1^{+-}$; and (5) $Z_c(4250)$ can be a tetraquark candidate but the quantum numbers cannot be assigned at present. We hope further studies may check the predictions and assignments given here.

arXiv comment23 pages, 5 figures, 13 tables. Version will appear in Phys. Rev. D

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• The $XYZ$ states: experimental and theoretical status and perspectives
• Pentaquark and Tetraquark states
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• Study of $e^{+}{e}^{-}\to \gamma \omega J/\psi$ and Observation of $X(3872)\to \omega J/\psi$
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• Spectrum and rearrangement decays of tetraquark states with four different flavors
• Mass spectra of doubly heavy tetraquarks in an improved chromomagnetic interaction model
• Fully heavy pentaquarks
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• Hidden-charm pentaquark states in a mass splitting model
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• Where are the hidden-charm hexaquarks?
• Charmonium states in a coupled-channel model
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