Eta-mesic nuclei in relativistic mean-field theory

Abstract

With the eta-nucleon (eta N) interaction Lagrangian deduced from chiral perturbation theory, we study the possible eta-mesic nuclei in the framework of relativistic mean-field theory. The eta single-particle energies are sensitive to the eta N scattering length, and increase monotonically with the nucleon number A. If the scattering length is in the range of a^{eta N}=0.75-1.05 fm and the imaginary potential V_{0}-15 MeV, some discrete states of C, O and Ne eta bound states should be identified in experiments. However, when the scattering length a^{eta N}< 0.5 fm, or the imaginary potential V_{0} > 30 MeV, no discrete eta meson bound states could be observed in experiments.

arXiv comment6 pages

References in corpus (20)

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• Dependence of calculated binding energies and widths of $\eta$-mesic nuclei on treatment of subthreshold $\eta$-nucleon interaction
• Low-energy etaN interactions: scattering lengths and resonance parameters
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• eta-Nucleus interactions and in-medium properties of N*(1535) in chiral models
• Bounds on the bound η^3He system
• The properties of kaonic nuclei in relativistic mean-field theory
• $\eta$-meson in nuclear matter

Cited by in corpus (6)

• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• $\eta$-nucleus interaction from the $d+d$ reaction around the $\eta$ production threshold
• Eta meson rescattering effects in the p + 6Li --> eta + 7Be reaction near threshold
• $\eta$ mesons in hot and dense asymmetric nuclear matter
• Pairwise final state interactions in the p d --> p d eta reaction near threshold
• Pseudoscalar mesons from a PNJL model at zero temperature