Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals

Abstract

In the framework of nuclear energy density functional (EDF) methods, many nuclear phenomena can be related to the deformation of intrinsic states. Their accurate modeling relies on the correct description of the change of nuclear binding energy with deformation. The two most important contributions to the deformation energy have their origin in shell effects and the surface energy coefficient of nuclear matter. In a first step, we build nine series of parametrizations with a systematically varied surface-energy coefficient a_surf for three frequently-used options for the CM correction (none, one-body term only, full one-body and two-body contributions) combined with three values for the isoscalar effective mass m^*_0/m (0.7, 0.8, 0.85) and analyse how well each of these parametrizations can be adjusted to the properties of spherical nuclei and infinite nuclear matter. In a second step, we performed additional fits without the constraint on surface energy, adding one ``best-fit" parametrization to each of the nine series. We then benchmark these parametrizations to the deformation properties of heavy nuclei by means of three-dimensional Hartree-Fock-Bogoliubov calculations that allow for non-axial and/or non-reflection symmetric configurations. We perform a detailed correlation analysis between surface and volume properties of nuclear matter using the nine series of parametrizations. The best fits out of each series are then benchmarked on the fission barriers of Pu240 and Hg180, as well as on the properties of deformed states at normal and superdeformation for actinides and nuclei in the neutron-deficient Hg region. (see paper for full abstract)

37 pages, incorporates the modifications made for the published version. Note that the title of the paper has changed

References in corpus (29)

• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Core-crust transition in neutron stars: predictivity of density developments
• Progress in Constraining Nuclear Symmetry Energy Using Neutron Star Observables Since GW170817
• Isovector splitting of nucleon effective masses, ab-initio benchmarks and extended stability criteria for Skyrme energy functionals
• Future of Nuclear Fission Theory
• Incompressibility of neutron-rich matter
• Constraints on Nuclear Symmetry Energy Parameters
• Theory of Nuclear Fission
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Khon-Sham Density Functional Inspired Approach to Nuclear Binding
• Effective pseudopotential for energy density functionals with higher order derivatives
• Interdependence of different symmetry energy elements
• Solution of the Skyrme HF+BCS equation on a 3D mesh. II. A new version of the Ev8 code
• Shape staggering of mid-shell mercury isotopes from in-source laser spectroscopy compared with Density Functional Theory and Monte Carlo Shell Model calculations
• Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider
• Atlas of Nuclear Isomers -- Second Edition
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D Mesh: Effect of triaxial shape
• Spin Polarized Asymmetric Nuclear Matter and Neutron Star Matter Within the Lowest Order Constrained Variational Method
• Triaxiality and shape coexistence in Germanium isotopes
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh: II. Time-reversal symmetry breaking
• Octupole deformation properties of actinide isotopes within a mean field approach
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Fission of ${}^{240}$Pu with symmetry-restored density functional theory
• Nuclear incompressibility and sound speed in uniform matter and finite nuclei
• Impact of nuclear deformation on collective flow observables in relativistic U+U collisions
• Skyrme-Hartree-Fock-Bogoliubov mass models on a 3D mesh. IIb. Fission properties of BSkG2
• A stabilized pairing functional
• Properties of spherical and deformed nuclei using regularized pseudopotentials in nuclear DFT
• Surface energy coefficient of a N2LO Skyrme energy functional : a semiclassical Extended Thomas-Fermi approach

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