QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=1^{+-}$

Abstract

We apply the method of QCD sum rules to study the structure $X$ newly observed by the BESIII Collaboration in the $\varphi {\eta }^{\prime }$ mass spectrum in 2.0-2.1 GeV region in the $J/\psi \to \varphi \eta {\eta }^{\prime }$ decay. We construct all the $ss\bar{s}\bar{s}$ tetraquark currents with $J^{PC}=1^{+-}$, and use them to perform QCD sum rule analyses. One current leads to reliable QCD sum rule results and the mass is extracted to be $2.00_{-0.09}^{+0.10}$ GeV, suggesting that the structure $X$ can be interpreted as an $ss\bar{s}\bar{s}$ tetraquark state with $J^{PC}=1^{+-}$. The $Y(2175)$ can be interpreted as its $ss\bar{s}\bar{s}$ partner having $J^{PC}=1^{--}$, and we propose to search for the other two partners, the $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=1^{++}$ and $1^{-+}$, in the ${\eta }^{\prime }{f}_0(980)$, ${\eta }^{\prime }K\bar{K}$, and ${\eta }^{\prime }K{\bar{K}}^{\ast }$ mass spectra.

arXiv comment8 pages, 5 figures, 1 table, suggestions and comments are welcome

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• Fully-strange tetraquark $ss\bar{s}\bar{s}$ spectrum and possible experimental evidence
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• Nature of the vector resonance $Y(2175)$
• The $ss\bar{s}\bar{s}$ tetraquark states and the newly observed structure $X(2239)$ by BESIII Collaboration
• Settling the $Z_c(4600)$ in the charged charmonium-like family
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$
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• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Light tetraquark state candidates
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• Light tetraquark states with the exotic quantum number $J^{PC}=3^{-+}$