{ "id": "2308.07836", "version": "v1", "published": "2023-08-15T15:26:33.000Z", "updated": "2023-08-15T15:26:33.000Z", "title": "$η$ and $η'$ mesons in nuclear matter and nuclei", "authors": [ "J. J Cobos-Martinez", "Kazuo Tsushima" ], "comment": "11 pages, 4 figures, 6 tables", "categories": [ "nucl-th", "hep-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2023-08-15T15:26:33.000Z" } ], "analyses": { "keywords": [ "nuclear matter", "nucleus bound state energies", "local density approximation", "form mesic nuclei", "klein-gordon equations" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }