Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$

Abstract

We study the exotic $J^{PC}=0^{--}$ four-quark states in Laplace sum rules (LSR) and finite energy sum rules (FESR). We use the vector tetraquark-like currents as interpolating currents in the correlator, from which the $1^{+-}$ states are also studied. In the mass extraction, we use the standard stability criterion with respect to the Borel parameters and the QCD continuum thresholds and consider the effect of the violation of factorization in estimating the high dimensional condensates as a source of uncertainties. The obtained mass prediction $1.66\pm 0.14$ GeV is much lower than the previous sum rule predictions obtained using the scalar currents. Our result favours the four-quark interpretation of the possible $\rho \pi$ dominance in the $D^0$ decay. We also discuss the possible decay patterns of these exotic four-quark states.

10 pages, 8 figures. Comments and suggestions are welcome

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Cited by in corpus (19)

• Pentaquark and Tetraquark states
• Prediction of a narrow exotic hadronic state with quantum numbers $J^{PC}=0^{--}$
• Exotic glueball $0^{\pm -}$ states in QCD Sum Rules
• QCD sum rule studies on the $ss\bar{s}\bar{s}$ tetraquark states with $J^{PC}=1^{+-}$
• A comprehensive revisit of the $\rho$ meson with improved Monte-Carlo based QCD sum rules
• Masses of doubly heavy tetraquarks $QQ\bar{n}\bar{q}$ with $J^P=1^{+}$
• Highly excited and exotic fully-strange tetraquark states
• Exotic tetraquark states with $J^{PC}=0^{+-}$
• Fully-strange tetraquark states with the exotic quantum numbers $J^{PC}=0^{+-}$ and $2^{+-}$
• Experimental review of the ${\rm Y}(1S,2S,3S)$ physics at $e^{+}{e}^{-}$ colliders and the LHC
• A Sum-Rules Analysis of Next-to-Leading-Order (NLO) QCD Perturbative Contributions to a $J^{PC}=0^{+-}$, $du\bar{d}\bar{u}$ Tetraquark Correlator
• Light tetraquark states with exotic quantum numbers $J^{PC}=2^{+-}$
• Light tetraquark states with the exotic quantum number $J^{PC}=3^{-+}$
• Unraveling $K(1690)$ as a pseudoscalar $ud\bar{d}\bar{s}$ tetraquark state
• Hints of the $J^{PC}=0^{--}$ and $1^{--}$ $K^{\ast }{\bar{K}}_1(1270)$ Molecules in the $J/\psi \to \varphi \eta {\eta }^{\prime }$ Decay
• Vector and Scalar Mesons' Mixing from QCD Sum Rules
• Search for light tetraquark states in ${\rm Y}(1S)$ and ${\rm Y}(2S)$ decays
• Fully strange tetraquark states via QCD sum rules
• Two-body strong decays of the pseudoscalar hidden-charm tetraquark states via the QCD sum rules