Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh. IIb. Fission properties of BSkG2

Abstract

Large-scale models of nuclear structure are currently the only way to provide consistent datasets for the many properties of thousands of exotic nuclei that are required by nucleosynthesis simulations. In [W.Ryssens et al., Eur. Phys. J. A 58, 246 (2022)], we recently presented the new BSkG2 model based on an energy density functional of the Skyrme type. Relying on a flexible three-dimensional coordinate representation of the nucleus, the model takes into account both triaxial deformation and time-reversal symmetry breaking. BSkG2 achieves a state-of-the-art global description of nuclear ground state (g.s.) properties and reproduces in particular the known masses with a root-mean-square (rms) deviation of 678 keV. Moving beyond g.s. properties, the model also reproduces all empirical values for the primary and secondary barriers as well as isomer excitation energies of actinide nuclei with rms deviations below 500 keV, i.e. with unprecedented accuracy. Here we discuss in detail the extension of our framework to the calculation of the fission barriers of 45 actinide nuclei, including odd-mass and odd-odd systems. We focus in particular on the impact of symmetry breaking which is key to the accuracy of the model: we allow systematically for axial, reflection and time-reversal symmetry breaking. The effect of the latter on the fission properties of odd-mass and odd-odd nuclei is small, but we find that allowing for shapes with triaxial or octupole deformation, as well as shapes with both, is crucial to achieving this accuracy. The numerical accuracy of our coordinate space approach, the variety of nuclear configurations explored and the simultaneous successful description of fission properties and known masses makes BSkG2 the tool of choice for the large-scale study of nuclear structure.

Version accepted for publication; 25 pages, 11 figures, 3 tables

References in corpus (19)

• Surface diffuseness correction in global mass formula
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Microscopic justification of the Equal Filling approximation
• Future of Nuclear Fission Theory
• Astronuclear Physics: a Tale of the Atomic Nuclei in the Skies
• Theory of Nuclear Fission
• Nuclear mass predictions with machine learning reaching the accuracy required by $r$-process studies
• Pairing-induced speedup of nuclear spontaneous fission
• Properties of heaviest nuclei with $98\le Z\le 126$ and $134\le N\le 192$
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D Mesh: Effect of triaxial shape
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Nuclear binding energy predictions using neural networks: Application of the multilayer perceptron
• Static fission properties of actinide nuclei
• Covariant density functional theory input for r-process simulations in actinides and superheavy nuclei: the ground state and fission properties
• Fission of ${}^{240}$Pu with symmetry-restored density functional theory
• Microscopic description of fission in odd-mass uranium and plutonium nuclei with the Gogny energy density functional
• Finite-amplitude method for collective inertia in spontaneous fission
• Role of dynamic pairing correlations in fission dynamics
• Microscopic Calculation of Fission Product Yields for Odd-Mass Nuclei

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