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Structure of η′\eta^{\prime} mesonic nuclei in a relativistic mean field theory

Aug 30, 2018
24 pages
Published in:
  • PTEP 2019 (2019) 5, 053D02
  • Published: May 1, 2019
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Abstract: (Oxford University Press)
The structure and the energy spectrum of the |η′\eta^{\prime}| mesonic nuclei are investigated in a relativistic mean field theory. One expects a substantial attraction for the |η′\eta^{\prime}| meson in finite nuclei due to the partial restoration of chiral symmetry in the nuclear medium. Such a hadronic scale interaction for the |η′\eta^{\prime}| mesonic nuclei may provide modification of the nuclear structure. The relativistic mean field theory is a self-contained model for finite nuclei that provides the saturation property within the model, and is useful for investigating the structure change of the nucleus induced by the |η′\eta^{\prime}| meson. Using the local density approximation for the mean fields, we solve the equations of motion for the nucleons and the |η′\eta^{\prime}| meson self-consistently, and obtain the nuclear density distribution and the |η′\eta^{\prime}| energy spectrum for the |η′\eta^{\prime}| mesonic nuclei. We take |12^{12}|C, |16^{16}|O, and |40^{40}| Ca as target nuclei. We find several bound states of the |η′\eta^{\prime}| meson for these nuclei thanks to the attraction for |η′\eta^{\prime}| in nuclei. We also find a sufficient change of the nuclear structure especially for the |1s1s| bound state of |η′\eta^{\prime}|⁠. This implies that the production of the |1s1s| bound state in nuclear reactions may be suppressed.
Note:
  • 24 pages, 11 figures, references corrected •
  • Submitted to Prog.Theor.Exp.Phys.
  • D33 Hadrons and quarks in nuclear matter
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