Masses of open-flavour heavy-light hybrids from QCD sum-rules

Ho, J.; Harnett, D.; Steele, T. G.

doi:10.1007/jhep05(2017)149

Cited by 10 publications

(39 citation statements)

References 63 publications

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“…Predictions for the masses of heavy-strange and heavy-nonstrange hybrid mesons for J P ∈ {0 ± , 1 ± } are briefly presented, utilizing QCD sum-rules and improving upon the calculations of [1] by updating the non-perturbative parameters in the calculation, and including higher dimensional condensates in the OPE that have been shown important to sum-rule stability. A complete discussion of the analysis and results may be found in [2]. A degeneracy is observed in the heavylight and heavy-strange states, and stabilization in the previously unstable 0 −(−) and 1 −(+) channels [1] driven by the addition of the higher dimensional mixed and 6d gluon condensate contributions.…”

Section: Discussionmentioning

confidence: 96%

Mass Predictions of Open-Flavour Hybrid Mesons from QCD Sum Rules

Ho¹,

Harnett²,

Steele³

2017

Proceedings of 38th International Conference on High Energy Physics — PoS(ICHEP2016)

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Within QCD, colourless states may be constructed corresponding to exotic matter outside of the traditional quark model. Experiments have recently observed tetraquark and pentaquark states, but no definitive hybrid meson signals have been observed. With the construction of the PANDA experiment at FAIR, and with full commissioning of the GlueX experiment at JLab expected to be completed this year, the opportunity for the observation of hybrid mesons has greatly increased. However, theoretical calculations are necessary to ascertain the identity of any experimental resonances that may be observed. We present selected QCD sum rule results from a full range of quantum numbers for open-flavour hybrid mesons with heavy valence quark content, including non-perturbative condensate contributions up to six-dimensions.

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Section: Discussionmentioning

confidence: 96%

Mass Predictions of Open-Flavour Hybrid Mesons from QCD Sum Rules

Ho¹,

Harnett²,

Steele³

2017

Proceedings of 38th International Conference on High Energy Physics — PoS(ICHEP2016)

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“…We select a Borel window (τ min , τ max ) over which we will examine the LSR using the methodology of [11,22,27,28]. We require that the LSR converges in the sense that the perturbative contribution is at least three times that of the 4d gluon condensate contribution which, in turn, is at least three times that of the 6d gluon condensate contribution.…”

Section: Discussionmentioning

confidence: 99%

Heavy Quarkonium (1 −− ) Meson-Hybrid Mixing from QCD Sum Rules

Palameta

Harnett

et al. 2018

Nuclear and Particle Physics Proceedings

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We use QCD Laplace sum-rules to explore mixing between conventional mesons and hybrids in the heavy quarkonium vector J PC = 1 −− channel. Our cross-correlator includes perturbation theory and contributions proportional to the four-dimensional and six-dimensional gluon condensates. We input experimentally determined charmonium and bottomonium hadron masses into both single and multi-resonance models in order to test them for conventional meson and hybrid components. In the charmonium sector we find evidence for meson-hybrid mixing in the J/ψ and a ≈ 4.3 GeV resonance. In the bottomonium sector, we find that the Υ(1S ), Υ(2S ), Υ(3S ), and Υ(4S ) all exhibit mixing.

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“…The perturbative result (16) contains a nonlocal divergence. We eliminate this nonlocal divergence through operator mixing under renormalization as in [2,21,22]. The meson current (1) is renormalization-group (RG) invariant, and so we only need to consider the operator mixing of the hybrid current (2).…”

Section: The Correlatormentioning

confidence: 99%

“…We then introduce a "resonance(s) plus continuum" model (24). The square insertion denotes the current (22).…”

Section: Qcd Laplace Sum Rulesmentioning

confidence: 99%

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Meson-hybrid mixing in JPC=1++ heavy quarkonium from QCD sum rules

2018

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We explore conventional meson-hybrid mixing in J PC ¼ 1 þþ heavy quarkonium using QCD Laplace sum rules. We calculate the cross-correlator between a heavy conventional meson current and heavy hybrid current within the operator product expansion, including terms proportional to the four-and sixdimensional gluon condensates and the six-dimensional quark condensate. Using experimentally determined hadron masses, we construct models of the 1 þþ charmonium and bottomonium mass spectra. These models are used to investigate which resonances couple to both currents and thus exhibit conventional meson-hybrid mixing. In the charmonium sector, we find almost no conventional mesonhybrid mixing in the χ c1 ð1PÞ, minimal mixing in the Xð3872Þ, and significant mixing in both the Xð4140Þ and Xð4274Þ. In the bottomonium sector, we find minimal conventional meson-hybrid mixing in the χ b1 ð1PÞ and significant mixing in both the χ b1 ð2PÞ and χ b1 ð3PÞ.

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Masses of open-flavour heavy-light hybrids from QCD sum-rules

Cited by 10 publications

References 63 publications

Mass Predictions of Open-Flavour Hybrid Mesons from QCD Sum Rules

Mass Predictions of Open-Flavour Hybrid Mesons from QCD Sum Rules

Heavy Quarkonium (1 −− ) Meson-Hybrid Mixing from QCD Sum Rules

Meson-hybrid mixing in JPC=1++ heavy quarkonium from QCD sum rules

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