QCD sum rule studies on the tetraquark states of

Rui-Rui Dong; Niu Su; Hua-Xing Chen; Er-Liang Cui; Zhi-Yong Zhou

doi:10.1140/epjc/s10052-020-8340-9

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2020) 80: 749
https://doi.org/10.1140/epjc/s10052-020-8340-9

Regular Article - Theoretical Physics

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

Rui-Rui Dong¹, Niu Su¹, Hua-Xing Chen¹^,2^*, Er-Liang Cui³ and Zhi-Yong Zhou²

¹ School of Physics, Beihang University, Beijing, 100191, China
² School of Physics, Southeast University, Nanjing, 210094, China
³ College of Science, Northwest A&F University, Yangling, 712100, China

^* e-mail: hxchen@buaa.edu.cn

Received: 21 July 2020
Accepted: 9 August 2020
Published online: 18 August 2020

Abstract

We apply the method of QCD sum rules to study the $s s {\bar{s}} {\bar{s}}$ tetraquark states of $J^{PC} = 0^{-+}$ . We construct all the relevant $s s {\bar{s}} {\bar{s}}$ 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 $2.51^{+0.15}_{-0.12}$ 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 $J/\psi \rightarrow \gamma \pi \pi \eta ^\prime /\gamma K {\bar{K}} \eta ^\prime$ decays in BESIII to examine whether there exists the $$f_0(980)$$ resonance.