Reanalysis of the $X(4140)$ as axialvector tetraquark state with QCD sum rules

Abstract

In this article, we take the $X(4140)$ as the diquark-antidiquark type $cs\bar{c}\bar{s}$ tetraquark state with $J^{PC}=1^{++}$, and study the mass and pole residue with the QCD sum rules in details by constructing two types interpolating currents. The numerical results $M_{X_{L,+}}=3.95\pm 0.09\mathrm{GeV}$ and $M_{X_{H,+}}=5.00\pm 0.10\mathrm{GeV}$ disfavor assigning the $X(4140)$ to be the $J^{PC}=1^{++}$ diquark-antidiquark type $cs\bar{c}\bar{s}$ tetraquark state. Moreover, we obtain the masses of the $J^{PC}=1^{+-}$ diquark-antidiquark type $cs\bar{c}\bar{s}$ tetraquark states as a byproduct. The present predictions can be confronted to the experimental data in the future.

arXiv comment20 pages, 15 figures

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• Analysis of the mass and width of the $Y(4274)$ as axialvector molecule-like state
• Analysis of the mass and width of the $X(4140)$ as axialvector tetraquark state
• Exploring the resonances $X(4140)$ and $X(4274)$ through their decay channels
• Reanalysis of the $X(3915)$, $X(4500)$ and $X(4700)$ with QCD sum rules
• $Y(4626)$ in a chiral constituent quark model
• Analysis of the hidden-charm-hidden-strange tetraquark mass spectrum via the QCD sum rules
• Tetraquark Masses by using extension of Gursey-Radicati Mass Formula
• Exploratory study of X(4140) in QCD sum rules
• The explanation of some exotic states in the $cs\bar{c}\bar{s}$ tetraquark system