Mass spectrum of heavy quarkonium hybrids


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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ArXiv ePrint: 1304.4522

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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).

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  • Sum Rules
  • QCD