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QCD Sum-Rule Interpretation of X(3872) with $J^{PC}=1^{++}$ Mixtures of Hybrid Charmonium and $\bar D D^*$ Molecular Currents
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abstract
QCD sum-rules are employed to determine whether the X(3872) can be described as a mixed state that couples to $J^{PC}=1^{++}$ charmonium hybrid and $\bar D D^*$ molecular currents. After calculating the mixed correlator of hybrid and molecular currents, we formulate the sum-rule in terms of a mixing parameter that interpolates between the pure molecular and hybrid scenarios. As the mixing parameter is increased from the pure molecular case, the predicted mass increases until it reaches a maximum value in good agreement with the X(3872) and the resulting sum-rule analysis appears more robust than the pure molecular case.
Forward citations
Cited by 3 Pith papers
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Hidden-Charm Tetraquarks in a Mixture Model: Coupled-Channel Analysis with $c\bar{c}$ and Hadronic Molecular Components
A coupled-channel mixture model fitted to the X(3872) and Z(3930) masses predicts the X(3860) at about 3867 MeV, dominated by the charmonium core.
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Mass Spectra of $\Lambda_Q\bar{\Sigma}_Q$ Hexaquark States in QCD Sum Rules
QCD sum rules predict Λ_c Σ_c hexaquark ground-state masses around 5.8 GeV, above threshold and consistent with no bound state observed by BESIII.
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Meson-Hybrid Mixing in Vector ($1^{--}$) and Axial Vector ($1^{++}$) Charmonium
QCD Laplace sum-rules analysis of meson-hybrid cross correlators probes charmonium resonances for nonzero coupling to both conventional and hybrid currents as a mixing signal.
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