$\eta$-meson in nuclear matter

Abstract

The $\eta$-nucleon ($\eta$N) interactions are deduced from the heavy baryon chiral perturbation theory up to the next-to-leading-order terms. Combining the relativistic mean-field theory for nucleon system, we have studied the in-medium properties of $\eta$-meson. We find that all the elastic scattering $\eta$N interactions come from the next-to-leading-order terms. The $\eta$N sigma term is found to be about 280$\pm$130 MeV. The off-shell terms are also important to the in-medium properties of $\eta$-meson. On application of the latest determination of the $\eta$N scattering length, the ratio of $\eta$-meson effective mass to its vacuum value is near $0.84\pm 0.015$, while the optical potential is about $-(83\pm 5)$ MeV, at the normal nuclear density.

arXiv comment8 pages, 3 figures, to appear in PRC, many modifications

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• In-medium properties of pseudoscalar $D_s$ and $B_s$ mesons
• Nuclear in-medium effects on $\eta$ dynamics in proton-nucleus collisions
• Eta-mesic nuclei in relativistic mean-field theory
• $\eta$ mesons in hot and dense asymmetric nuclear matter
• Pseudoscalar mesons from a PNJL model at zero temperature