QCD sum rule studies of $$s s {\bar{s}} {\bar{s}}$$ sss¯s¯ tetraquark states with $$J^{PC} = 1^{+-}$$ JPC=1+

Abstract We apply the method of QCD sum rules to study the structure X newly observed by the BESIII Collaboration in the $$\phi \eta ^\prime $$ ϕη′ mass spectrum in 2.0–2.1 GeV region in the $$J/\psi \rightarrow \phi \eta \eta ^\prime $$ J/ψ→ϕηη′ decay. We construct all the $$s s {\bar{s}} {\bar{s}}$$ sss¯s¯ tetraquark currents with $$J^{PC} = 1^{+-}$$ JPC=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 $$2.00^{+0.10}_{-0.09}$$ 2.00-0.09+0.10 GeV, suggesting that the structure X can be interpreted as an $$s s {\bar{s}} {\bar{s}}$$ sss¯s¯ tetraquark state with $$J^{PC} = 1^{+-}$$ JPC=1+- . The Y(2175) can be interpreted as its $$s s {\bar{s}} {\bar{s}}$$ sss¯s¯ partner having $$J^{PC} = 1^{--}$$ JPC=1-- , and we propose to search for the other two partners, the $$s s {\bar{s}} {\bar{s}}$$ sss¯s¯ tetraquark states with $$J^{PC} = 1^{++}$$ JPC=1++ and $$1^{-+}$$ 1-+ , in the $$\eta ^\prime f_0(980)$$ η′f0(980) , $$\eta ^\prime K {\bar{K}}$$ η′KK¯ , and $$\eta ^\prime K {\bar{K}}^*$$ η′KK¯∗ mass spectra.