https://doi.org/10.1140/epja/s10050-025-01503-x
Regular Article - Theoretical Physics
Skyrme–Hartree–Fock–Bogoliubov mass models on a 3D mesh: IV. Improved description of the isospin dependence of pairing
1
Institut d’Astronomie et d’Astrophysique, Université Libre de Bruxelles, Brussels, Belgium
2
Brussels Laboratory of the Universe-BLU-ULB, Brussels, Belgium
a
guilherme.grams@ulb.be
b
nikolai.shchechilin@ulb.be
Received:
13
November
2024
Accepted:
28
January
2025
Published online:
22
February
2025
Providing reliable data on the properties of atomic nuclei and infinite nuclear matter to astrophysical applications remains extremely challenging, especially when treating both properties coherently within the same framework. Methods based on energy density functionals (EDFs) enable manageable calculations of nuclear structure throughout the entire nuclear chart and of the properties of infinite nuclear matter across a wide range of densities and asymmetries. To address these challenges, we present BSkG4, the latest Brussels-Skyrme-on-a-Grid model. It is based on an EDF of the extended Skyrme type with terms that are both momentum and density-dependent, and refines the treatment of 
nucleon pairing gaps in asymmetric nuclear matter as inspired by more advanced many-body calculations. The newest model maintains the accuracy of earlier BSkGs for known atomic masses, radii and fission barriers with rms deviations of 0.633 MeV w.r.t. 2457 atomic masses, 0.0246 fm w.r.t. 810 charge radii, and 0.36 MeV w.r.t 45 primary fission barriers of actinides. It also improves some specific pairing-related properties, such as the pairing gaps in asymmetric nuclear matter, neutron separation energies, 
values, and moments of inertia of finite nuclei. This improvement is particularly relevant for describing the r-process nucleosynthesis as well as various astrophysical phenomena related to the rotational evolution of neutron stars, their oscillations, and their cooling.
Supplementary Information The online version contains supplementary material available at https://doi.org/10.1140/epja/s10050-025-01503-x.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
