QCD sum rule study on the fully strange tetraquark states of JPC = 2

We apply the QCD sum rule method to systematically study the fully strange tetraquark states with the quantum number J PC = 2 ++ . We construct both the diquark–antidiquark and mesonic–mesonic currents and calculate both their diagonal and off-diagonal correlation functions. Based on the obtained re...

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Bibliographic Details
Published in:Frontiers in physics 2023-06, Vol.11
Main Authors: Dong, Rui-Rui, Su, Niu, Chen, Hua-Xing, Cui, Er-Liang
Format: Article
Language:English
Subjects:
exotic hadron
Fierz rearrangement
interpolating current
QCD sum rules
tetraquark state
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Summary:We apply the QCD sum rule method to systematically study the fully strange tetraquark states with the quantum number J PC = 2 ++ . We construct both the diquark–antidiquark and mesonic–mesonic currents and calculate both their diagonal and off-diagonal correlation functions. Based on the obtained results, we further construct three mixing currents that are nearly non-correlated. We use one mixing current to extract the mass of the lowest-lying state to be 2.0 3 − 0.15 + 0.16 GeV, which can be used to explain f 2 (2010) as a fully strange tetraquark state of J PC = 2 ++ . This state was observed by BESIII in the ϕϕ channel, and we propose to confirm it in the η ( ′ ) η ( ′ ) channel.
ISSN:2296-424X
2296-424X
DOI:10.3389/fphy.2023.1184103