$η$ and $η'$ mesons in nuclear matter and nuclei
We present updated and extended results for the $η$- and $η'$-nucleus bound state energies, obtained by solving the Schrödinger and Klein-Gordon equations with complex optical potentials, for a wide range of nuclei. The $η$ and $η'$ 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 $η$ and $η'$ mesons are expected to form mesic nuclei with all the nuclei considered. However, the signal for the formation of the $η$- and $η'$-mesic nuclei may be difficult to identify experimentally due to possible large widths.
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