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Possible Existence of \({(c\bar{c})}\) –Nucleus Bound States

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Abstract

Charmonium (\({c \bar{c}}\)) bound states in few-nucleon systems, 2H, 4He and 8Be, are studied via Gaussian Expansion Method (GEM). We adopt a Gaussian potential as an effective \({(c \bar{c})}\)–nucleon (N) interaction. The relation between two-body \({(c \bar{c})}\)–N scattering length \({a_{c\bar{c}-N}}\) and the binding energies B of \({(c \bar{c})}\) –nucleus bound states are given. Recent lattice QCD data of \({a_{c\bar{c}-N}}\) corresponds to \({B \simeq 0.5}\) MeV for \({(c \bar{c})-^{4}}\) He and 2 MeV for \({(c \bar{c})-^{8}}\) Be in our results.

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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro, Tokyo, 152-8551, Japan

    Akira Yokota & Makoto Oka

  2. RIKEN Nishina Center, RIKEN, 2-1 Hirosawa, Wako, Saitama, 351-0198, Japan

    Emiko Hiyama

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  1. Akira Yokota
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  2. Emiko Hiyama
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  3. Makoto Oka
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Correspondence to Akira Yokota.

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Yokota, A., Hiyama, E. & Oka, M. Possible Existence of \({(c\bar{c})}\) –Nucleus Bound States. Few-Body Syst 55, 761–765 (2014). https://doi.org/10.1007/s00601-014-0895-2

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  • DOI: https://doi.org/10.1007/s00601-014-0895-2

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