{ "id": "2007.08122", "version": "v1", "published": "2020-07-16T05:37:47.000Z", "updated": "2020-07-16T05:37:47.000Z", "title": "Second-forbidden nonunique $β^-$ decays of $^{24}$Na and $^{36}$Cl assessed by the nuclear shell model", "authors": [ "Anil Kumar", "Praveen C. Srivastava", "Joel Kostensalo", "Jouni Suhonen" ], "comment": "11 pages. 4 figures, 5 tables", "journal": "Phys. Rev. C 101, 064304 (2020)", "doi": "10.1103/PhysRevC.101.064304", "categories": [ "nucl-th", "nucl-ex" ], "abstract": "We have performed a systematic study of the log$ft$ values, shape factors and electron spectra for the second-forbidden nonunique $\\beta^-$ decays of $^{24}$Na$(4^+) \\rightarrow ^{24}$Mg$(2^+)$ and $^{36}$Cl$(2^+) \\rightarrow ^{36}$Ar$(0^+)$ transitions under the framework of the nuclear shell model. We have performed the shell model calculations in the $sd$ model space, using more recent microscopic effective interactions such as Daejeon16, chiral N3LO, and JISP16. These interactions are derived from the no-core shell model wave functions using Okubo-Lee-Suzuki transformation.For comparison, we have also shown the results obtain from the phenomenological USDB interaction. To test the predictive power of these interactions first we have computed low-lying energy spectra of parent and daughter nuclei involved in these transitions. The computed results for energy spectra, nuclear matrix elements, log$ft$ values, shape factors, electron spectra and decomposition of the integrated shape factor are reported and compare with the available experimental data.", "revisions": [ { "version": "v1", "updated": "2020-07-16T05:37:47.000Z" } ], "analyses": { "keywords": [ "nuclear shell model", "second-forbidden nonunique", "shape factor", "no-core shell model wave functions", "energy spectra" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. C" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }