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arXiv · 2308.07836

$\eta$ and $\eta'$ mesons in nuclear matter and nuclei

J. J Cobos-Martinez·Kazuo Tsushima
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Abstract

We present updated and extended results for the $\eta$- and $\eta'$-nucleus bound state energies, obtained by solving the Schr\"{o}dinger and Klein-Gordon equations with complex optical potentials, for a wide range of nuclei. The $\eta$ and $\eta'$ nuclear potentials are obtained in the local density approximation from the mass shift of these mesons in nuclear matter, which is calculated within the quark-meson coupling model. Our results show that the $\eta$ and $\eta'$ mesons are expected to form mesic nuclei with all the nuclei considered. However, the signal for the formation of the $\eta$- and $\eta'$-mesic nuclei may be difficult to identify experimentally due to possible large widths.

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J. J Cobos-Martinez, Kazuo Tsushima. 2023-08-15. $\eta$ and $\eta'$ mesons in nuclear matter and nuclei. https://doi.org/10.1103/physrevc.109.025202

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