Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$

Abstract

We study the fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$. We construct their corresponding diquark-antidiquark interpolating currents, and apply the QCD sum rule method to calculate both their diagonal and off-diagonal correlation functions. The obtained results are used to construct some mixing currents that are nearly non-correlated, from which we extract the masses of the lowest-lying states to be $M_{0^{+-}}=2.45_{-0.44}^{+0.33}$ GeV and $M_{2^{+-}}=3.07_{-0.33}^{+0.25}$ GeV. We apply the Fierz rearrangement to transform the diquark-antidiquark currents to be the combinations of meson-meson currents, and the obtained Fierz identities indicate that these two states may be searched for in the $P$-wave $\varphi (1020)f_0(1710)/\varphi (1020)f_2^{\prime }(1525)(\to \varphi K\bar{K}/\varphi \pi \pi )$ channels.

14 pages, 5 figures, 1 tables, revised version to be published in PRD

References in corpus (20)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The Physics of Glueballs
• Toward the excited meson spectrum of dynamical QCD
• Hybrid Mesons
• Towards the glueball spectrum from unquenched lattice QCD
• Observation of an excess of di-charmonium events in the four-muon final state with the ATLAS detector
• The Y(2175) State in the QCD Sum Rule
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• Finding the $0^{--}$ Glueball
• Hybrid meson properties in Lattice QCD and Flux Tube Models
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• The I^G J^{PC}=0^+ 1^{-+} Tetraquark State
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• The Strong Decay Patterns of the $1^{-+}$ Exotic Hybrid Mesons
• The Possible J^{PC}=0^{--} Exotic State
• Exotic glueball $0^{\pm -}$ states in QCD Sum Rules
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=1^{+-}$
• Revisiting the b1 pi and rho pi decay modes of the 1-+ light hybrid state with light-cone QCD sum rules
• Hybrid States from Constituent Glue Model
• Light double-gluon hybrid states with the exotic quantum numbers $J^{PC}=1^{-+}$ and $3^{-+}$

Cited by in corpus (5)

• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• Fully strange tetraquark states via QCD sum rules