QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$

Abstract

We apply the method of QCD sum rules to study the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$. We construct all the relevant $ss\bar{s}\bar{s}$ tetraquark currents, and find that there are only two independent ones. We use them to further construct two weakly-correlated mixed currents. One of them leads to reliable QCD sum rule results and the mass is extracted to be $2.51_{-0.12}^{+0.15}$ GeV, suggesting that the $X(2370)$ or the $X(2500)$ can be explained as the $ss\bar{s}\bar{s}$ tetraquark state of $J^{PC}=0^{-+}$. To verify this interpretation, we propose to further study the $\pi \pi /K\bar{K}$ invariant mass spectra of the $J/\psi \to \gamma \pi \pi {\eta }^{\prime }/\gamma K\bar{K}{\eta }^{\prime }$ decays in BESIII to examine whether there exists the $f_0(980)$ resonance.

8 pages, 6 figures, suggestions and comments are welcome

References in corpus (12)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Towards the glueball spectrum from unquenched lattice QCD
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• The Y(2175) State in the QCD Sum Rule
• $X(1835)$ and the New Resonances $X(2120)$ and $X(2370)$ Observed by the BES Collaboration
• Central exclusive diffractive production of $K^{+}{K}^{-}{K}^{+}{K}^{-}$ via the intermediate $\varphi \varphi$ state in proton-proton collisions
• Electron-positron annihilation into phi f_{0}(980) and clues for a new 1^{--} resonance
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=1^{+-}$
• Dynamical analysis of the $X$ resonance contributions to the decay $J/\psi \to \gamma X\to \gamma \varphi \varphi$

Cited by in corpus (11)

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• Fully-strange tetraquark $ss\bar{s}\bar{s}$ spectrum and possible experimental evidence
• $S$- and $P$-wave fully-strange tetraquark states from QCD sum rules
• Study of the process $e^{+}{e}^{-}\to \varphi \eta$ at center-of-mass energies between 2.00 and 3.08 GeV
• Cross section measurement of $e^{+}{e}^{-}\to K_S^0{K}_L^0$ at $\sqrt{s}=2.00-3.08\mathrm{GeV}$
• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• The ground states and the first radially excited states of D-wave vector $\rho$ and $\varphi$ mesons
• QCD sum rule studies on the possible double-peak structure of the $X17$ particle