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Mass spectrum of heavy quarkonium hybrids

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Abstract

We have extended the calculation of the correlation functions of heavy quarkonium hybrid operators with various J PC quantum numbers to include QCD condensates up to dimension six. In contrast to previous analyses which were unable to optimize the QCD sum-rules for certain J PC, recent work has shown that inclusion of dimension six condensates stabilizes the hybrid sum-rules and permits reliable mass predictions. In this work we have investigated the effects of the dimension six condensates on the remaining channels. After performing the QCD sum-rule analysis, we update the mass spectra of charmonium and bottomonium hybrids with exotic and non-exotic quantum numbers. We identify that the negative-parity states with J PC = (0, 1, 2)−+ , 1−− form the lightest hybrid supermultiplet while the positive-parity states with J PC = (0, 1)+− , (0, 1, 2)++ belong to a heavier hybrid supermultiplet, confirming the supermultiplet structure found in other approaches. The hybrid with J PC = 0−− has a much higher mass which may suggest a different excitation of the gluonic field compared to other channels. In agreement with previous results, we find that the J PC = 1++ charmonium hybrid is substantially heavier than the X(3872), which seems to preclude a pure charmonium hybrid interpretation for this state.

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Authors and Affiliations

  1. Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, SK, S7N 5E2, Canada

    Wei Chen, R. T. Kleiv & T. G. Steele

  2. Department of Physics, University of the Fraser Valley, Abbotsford, BC, V2S 7M8, Canada

    B. Bulthuis, D. Harnett, J. Ho & T. Richards

  3. Department of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing, 100871, China

    Shi-Lin Zhu

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  1. Wei Chen
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Chen, W., Kleiv, R.T., Steele, T.G. et al. Mass spectrum of heavy quarkonium hybrids. J. High Energ. Phys. 2013, 19 (2013). https://doi.org/10.1007/JHEP09(2013)019

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