{ "id": "2407.18793", "version": "v1", "published": "2024-07-26T14:54:38.000Z", "updated": "2024-07-26T14:54:38.000Z", "title": "Investigating the effect of nuclear deformation on $β$-decay half-lives of neutron-rich nuclei", "authors": [ "Jameel-Un Nabi", "Tuncay Bayram", "Wajeeha Khalid", "Arslan Mehmood", "Alper Köseoğlu" ], "comment": "Total Pages = 37, Tables 3, Figures 17", "categories": [ "nucl-th", "astro-ph.SR" ], "abstract": "We examine the effect of nuclear deformation on the calculated $\\beta$-decay half-lives of 55 neutron-rich nuclei. The deformation values were computed using DD-PC1 and DD-ME2 interactions in the Relativistic Hartree-Bogoliubov model. Yet another set of deformation was adopted from the Finite Range Droplet Model (FRDM). The model-dependent deformation values were used as a free parameter in the proton-neutron quasiparticle random phase approximation model to calculate the $\\beta$-decay properties under terrestrial and stellar conditions. The Gamow-Teller strength distributions, branching ratios, half-lives and stellar weak rates of selected nuclei were later investigated. It was concluded that the $\\beta$-decay properties of neutron-rich nuclei changed with nuclear deformation. The FRDM computed deformation values provided the best predictions for calculated half-lives followed by the DD-ME2 functional. The terrestrial $\\beta$-decay half-lives changed up to 3 orders of magnitude and the stellar $\\beta$-rates within a factor of 2 as the neutron-rich nuclei switched their geometrical configurations. For magic number nucleus $^{138}$Sn, the stellar rates changed substantially by more than 1 order of magnitude as the nucleus transitioned away from the spherical shape. Our investigation might prove useful for a realistic modeling of nucleosynthesis calculation.", "revisions": [ { "version": "v1", "updated": "2024-07-26T14:54:38.000Z" } ], "analyses": { "keywords": [ "neutron-rich nuclei", "decay half-lives", "nuclear deformation", "deformation values", "quasiparticle random phase approximation model" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }