{ "id": "2106.02279", "version": "v1", "published": "2021-06-04T06:23:20.000Z", "updated": "2021-06-04T06:23:20.000Z", "title": "Charge radii of potassium isotopes in the RMF(BCS)* approach", "authors": [ "Rong An", "Shi-sheng Zhang", "Li-sheng Geng", "Feng-shou Zhang" ], "comment": "10 pages, 5 figures", "categories": [ "nucl-th" ], "abstract": "We apply the recently proposed RMF(BCS)* ansatz to study the charge radii of the potassium isotopic chain up to $^{52}$K. It is shown that the experimental data can be reproduced rather well, qualitatively similar to the Fayans nuclear density functional theory, but with a slightly better description of the odd-even staggerings (OES). Nonetheless, both methods fail for $^{50}$K and to a lesser extent for $^{48,52}$K. It is shown that if these nuclei are deformed with a $\\beta_{20}\\approx-0.2$, then one can obtain results consistent with experiments for both charge radii and spin-parities. We argue that beyond mean field studies are needed to properly describe the charge radii of these three nuclei, particularly for $^{50}$K.", "revisions": [ { "version": "v1", "updated": "2021-06-04T06:23:20.000Z" } ], "analyses": { "keywords": [ "charge radii", "potassium isotopes", "fayans nuclear density functional theory", "mean field studies", "potassium isotopic chain" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }