Analysis of the $Z_c(4200)$ as axial-vector molecule-like state

Abstract

In this article, we assume the $Z_c(4200)$ as the color octet-octet type axial-vector molecule-like state, and construct the color octet-octet type axial-vector current to study its mass and width with the QCD sum rules. The numerical values $M_{Z_c(4200)}=4.19\pm 0.08\mathrm{GeV}$ and ${\Gamma }_{Z_c(4200)}\approx 334\mathrm{MeV}$ are consistent with the experimental data $M_{Z_c(4200)}=4196_{-29}^{+31}{}_{-13}^{+17}\mathrm{MeV}$ and ${\Gamma }_{Z_c(4200)}=370_{-70}^{+70}{}_{-132}^{+70}\mathrm{MeV}$, and support assigning the $Z_c(4200)$ to be the color octet-octet type molecule-like state with $J^{PC}=1^{+-}$. Furthermore, we discuss the possible assignments of the $Z_c(3900)$, $Z_c(4200)$ and $Z(4430)$ as the diquark-antidiquark type tetraquark states with $J^{PC}=1^{+-}$.

17 pages, 8 figures

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• New charged resonance $Z_c^{-}(4100)$: the spectroscopic parameters and width
• Molecular Interpretation of $X(3960)$ as $D_s^{+}{D}_s^{-}$ State
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• Analysis of strong decays of the $Z_c(4600)$ with the QCD sum rules
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• Is the resonance $X_0(2900)$ a ground-state or radially excited scalar tetraquark $[ud][\overline{c}\overline{s}]$?
• Analysis of the axialvector $B_c$-like tetraquark states with the QCD sum rules
• Magnetic moments of the vector hidden-charmed tetraquark states
• Axial-vector and pseudoscalar tetraquarks $[ud][\bar{c}\bar{s}]$
• Electromagnetic properties of the $D{\bar{D}}^{\ast }K$ molecular hexaquark state
• Structural dissection of hadronic molecules: The $D^{(\ast )}{\bar{K}}^{(\ast )}$ family under QCD light-cone sum rules
• Hadronic molecule model for the doubly charmed state $T_{cc}^{+}$