Heavy Quarkonium ($1^{--}$) Meson-Hybrid Mixing from QCD Sum Rules

A. Palameta; J. Ho; D. Harnett; T. G. Steele

doi:10.1016/j.nuclphysbps.2018.03.015

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arXiv · 1709.04542

Heavy Quarkonium ($1^{--}$) Meson-Hybrid Mixing from QCD Sum Rules

A. Palameta·J. Ho·D. Harnett·T. G. Steele

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Abstract

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 $J/\psi$ and a $\approx4.3$ GeV resonance. In the bottomonium sector, we find that the $\Upsilon(1S)$, $\Upsilon(2S)$, $\Upsilon(3S)$, and $\Upsilon(4S)$ all exhibit mixing.

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A. Palameta, J. Ho, D. Harnett, T. G. Steele. 2017-09-13. Heavy Quarkonium ($1^{--}$) Meson-Hybrid Mixing from QCD Sum Rules. https://doi.org/10.1016/j.nuclphysbps.2018.03.015

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