$S$- and $P$-wave fully-strange tetraquark states from QCD sum rules

Abstract

We apply the QCD sum rule method to systematically study the $S$- and $P$-wave fully-strange tetraquark states within the diquark-antidiquark picture. We systematically construct their interpolating currents by explicitly adding the covariant derivative operator. Our results suggest that the $f_0(2100)$, $X(2063)$, and $f_2(2010)$ may be explained as the $S$-wave $ss\bar{s}\bar{s}$ tetraquark states with the quantum numbers $J^{PC}=0^{++}$, $1^{+-}$, and $2^{++}$, respectively. Our results also suggest that both the $X(2370)$ and $X(2500)$ may be explained as the $P$-wave $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$, and both the $\varphi (2170)$ and $X(2400)$ may be explained as the $P$-wave $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=1^{--}$. The masses of the $ss\bar{s}\bar{s}$ tetraquark states with the exotic quantum number $J^{PC}=1^{-+}$ are extracted from two non-correlated currents to be $2.45_{-0.25}^{+0.20}$ GeV and $2.49_{-0.25}^{+0.21}$ GeV.

arXiv comment20 pages, 6 figures, 2 tables, revised version to be published in PRD

References in corpus (106)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• The glueball spectrum from an anisotropic lattice study
• The $XYZ$ states: experimental and theoretical status and perspectives
• Multiquark Resonances
• Non-Standard Heavy Mesons and Baryons, an Experimental Review
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• Exotics: Heavy Pentaquarks and Tetraquarks
• An updated review of the new hadron states
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
• Threshold cusps and triangle singularities in hadronic reactions
• Multiquark States
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Measurements of e+e- -> K+K-eta, K+K-pi0 and KsK+pi- Cross Sections Using Initial State Radiation Events
• Gluon condensate in charmonium sum rules with 3-loop corrections
• Towards the glueball spectrum from unquenched lattice QCD
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• Insights into the Emergence of Mass from Studies of Pion and Kaon Structure
• Confirmation of the X(1835) and observation of the resonances X(2120) and X(2370) in J/psi->gamma pi^+pi^-eta'
• A Structure at 2175 MeV in $e^{+}{e}^{-}\to \varphi f_0(980)$ Observed via Initial-State Radiation
• X(2175) as a resonant state of the $\varphi K\bar{K}$ system
• Tetra- and penta-quark structures in the constituent quark model
• Observation of Y(2175) in $J/\psi \to \eta \varphi f_0(980)$
• Analysis of Y(2175) as a tetraquark state with QCD sum rules
• The $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}{\pi }^0{\pi }^0$ and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections Measured with Initial-State Radiation
• The lightest hybrid meson supermultiplet in QCD
• Observation of the $\varphi (1680)$ and the Y(2175) in $e^{+}{e}^{-}\to \varphi {\pi }^{+}{\pi }^{-}$
• Operator product expansion and quark condensate from Lattice QCD in coordinate space
• A Candidate for $1^{--}$ Strangeonium Hybrid
• Y(2175): Distinguish Hybrid State from Higher Quarkonium
• Cross Sections for the Reactions e+e- --> K+ K- pi+pi-, K+ K- pi0pi0, and K+ K- K+ K- Measured Using Initial-State Radiation Events
• Higher Tetraquark Particles
• Decay of the pseudoscalar glueball into scalar and pseudoscalar mesons
• Measurement of $e^{+}{e}^{-}\to K^{+}{K}^{-}$ cross section at $\sqrt{s}=2.00-3.08$ GeV
• Renormalization-Scheme Dependence of Pade Summation in QCD
• The Y(2175) State in the QCD Sum Rule
• Etaprime and Eta Mesons with Connection to Anomalous Glue
• Non-strange partner of strangeonium-like state Y(2175)
• Study of J/psi->eta phi pi+pi- at BESIII
• Masses of light tetraquarks and scalar mesons in the relativistic quark model
• Categorizing resonances X(1835), X(2120) and X(2370) in the pseudoscalar meson family
• Glueball mass measurements from improved staggered fermion simulations
• Light-Meson Spectroscopy with COMPASS
• The I^G J^{PC}=1^- 1^{-+} Tetraquark States
• On the ϕ(1020)f_0(980) S-wave scattering and the Y(2175) resonance
• Novel approaches in Hadron Spectroscopy
• The meson-exchange model for the $\Lambda \bar{\Lambda }$ interaction
• Observation of a resonant structure in $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^0{\pi }^0$
• Observation of a resonant structure in $e^{+}{e}^{-}\to \omega \eta$ and another in $e^{+}{e}^{-}\to \omega {\pi }^0$ at center-of-mass energies between 2.00 and 3.08 GeV
• Faddeev fixed-center approximation to the $N\bar{K}K$ system and the signature of a $N^{\ast }(1920)(1/2^{+})$ state
• Observation of a structure in $e^{+}{e}^{-}\to \varphi {\eta }^{\prime }$ at $\sqrt{s}$ from 2.05 to 3.08 GeV
• Study of the pseudoscalar glueball in $J/\psi$ radiative decays
• Methods of calculation of higher power corrections in QCD
• A possible partner state of the $Y(2175)$
• Fully-strange tetraquark $ss\bar{s}\bar{s}$ spectrum and possible experimental evidence
• Mass spectrum and strong decays of strangeonium in a constituent quark model
• Towards the establishment of the light $J^{P(C)}=1^{-(+)}$ hybrid nonet
• Excited states of $\varphi$ meson
• The I^G J^{PC}=0^+ 1^{-+} Tetraquark State
• Two charged strangeonium-like structures observable in the $Y(2175)\to \varphi (1020){\pi }^{+}{\pi }^{-}$ process
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• $X(1835)$ and the New Resonances $X(2120)$ and $X(2370)$ Observed by the BES Collaboration
• Cross section measurements of $e^{+}{e}^{-}\to K^{+}{K}^{-}{K}^{+}{K}^{-}$ and $\varphi K^{+}{K}^{-}$ at center-of-mass energies from 2.10 to 3.08 GeV
• Observation of the $X(2370)$ and search for the $X(2120)$ in $J/\psi \to \gamma K\bar{K}{\eta }^{\prime }$
• Multichannel calculation of excited vector $\varphi$ resonances and the $\varphi (2170)$
• The Strong Decay Patterns of the $1^{-+}$ Exotic Hybrid Mesons
• Central exclusive diffractive production of $K^{+}{K}^{-}{K}^{+}{K}^{-}$ via the intermediate $\varphi \varphi$ state in proton-proton collisions
• The Decay Properties of the 1^{-+} Hybrid State
• Hints for the existence of hexaquark states in the baryon-antibaryon sector
• Electron-positron annihilation into phi f_{0}(980) and clues for a new 1^{--} resonance
• ϕK^{+}K^{-} production in electron-positron annihilation
• Nature of the vector resonance $Y(2175)$
• The $ss\bar{s}\bar{s}$ tetraquark states and the newly observed structure $X(2239)$ by BESIII Collaboration
• Light baryonium spectrum
• What can we learn about light-meson interactions at electron-positron colliders?
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=1^{+-}$
• Study of the process $e^{+}{e}^{-}\to \varphi \eta$ at center-of-mass energies between 2.00 and 3.08 GeV
• Observation and study of the decay $J/\psi \to \varphi \eta {\eta }^{\prime }$
• Light unflavor vector meson spectroscopy around the mass range of $2.4\sim 3$ GeV and possible experimental evidence
• Strong decays of the $X(2500)$ newly observed by the BESIII Collaboration
• X(1835), X(2120) and X(2370) in a flux tube model
• Potential higher radial excitations in the light pseudoscalar meson family
• Partial wave analysis of $J/\psi \to \gamma {\eta }^{\prime }{\eta }^{\prime }$
• Combined fit to BaBar and Belle Data on e+e- to phi pi+ pi- and phi f0(980)
• Constructing new pseudoscalar meson nonets with the observed $X(2100)$, $X(2500)$, and $\eta (2225)$
• Study of the $\omega$ meson family and newly observed $\omega$-like state $X(2240)$
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• Cross section measurement of $e^{+}{e}^{-}\to K_S^0{K}_L^0$ at $\sqrt{s}=2.00-3.08\mathrm{GeV}$
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states of $J^{PC}=0^{-+}$
• Studying $X(2100)$ hadronic decays and predicting its pion and kaon induced productions
• Decay modes of the excited pseudoscalar glueball
• Prediction of possible exotic states in the $\eta \bar{K}{K}^{\ast }$ system
• The possible members of the $5^1{S}_0$ meson nonet
• Light axial-vector and vector resonances $X(2100)$ and $X(2239)$
• Light tetraquark state candidates
• The $X(2239)$ and $\eta (2225)$ as hidden-strange molecular states from $\Lambda \bar{\Lambda }$ interaction
• Substructure of Multiquark Hadrons (Snowmass 2021 White Paper)
• Decay of the pseudoscalar glueball and its first excited state into scalar and pseudoscalar mesons and their first excited states
• Dynamical analysis of the $X$ resonance contributions to the decay $J/\psi \to \gamma X\to \gamma \varphi \varphi$
• The decay $J/\psi \to \gamma \varphi \varphi$: spin dependence of amplitude and angular distributions of photons with linear polarizations
• Measurement of $e^{+}{e}^{-}\to \varphi {\pi }^{+}{\pi }^{-}$ cross sections at center-of-mass energies from 2.00 to 3.08 GeV
• Interpretation of the ${\eta }_1(1855)$ as a $K{\bar{K}}_1(1400)+$ c.c. molecule
• Nature of $X(2370)$
• Measurement of $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^0$ cross section and observation of a resonant structure

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• An updated review of the new hadron states
• Determination of spin-parity quantum numbers of X(2370) as $0^{-+}$ from $J/\psi \to \gamma K_S^0{K}_S^0{\eta }^{\prime }$
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Fully strange tetraquark resonant states as the cousins of $X(6900)$
• Radiative production and decays of the exotic ${\eta }_1^{\prime }(1855)$ and its siblings
• Light double-gluon hybrid states from QCD sum rules
• Fragmentation of fully heavy tetraquarks: The TQ4Q1.1 functions as a case study
• Electromagnetic properties of the $T_{cc}^{+}$ molecular states
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Mass Spectra of $qq\bar{q}\bar{q}$, $ss\bar{s}\bar{s}$ and $qq\bar{s}\bar{s}$ Tetraquarks using Regge Phenomenology
• The fully-light vector tetraquark states with explicit P-wave via the QCD sum rules
• Light double-gluon hybrid states with the exotic quantum numbers $J^{PC}=1^{-+}$ and $3^{-+}$
• Revealing the inner structure of the newly observed ${\eta }_1(1855)$ via photoproduction
• X(2370) glueball-like particle productions in $e^{+}{e}^{-}$ collisions at the BESIII energy and in pp collisions at the LHC energy with PACIAE model
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Mixing angle of $K_1(1270/1400)$ and the $K{\bar{K}}_1(1400)$ molecular interpretation of ${\eta }_1(1855)$
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• Fully strange tetraquark states via QCD sum rules