Impact of ground-state properties and collective excitations on the Skyrme ansatz: a Bayesian study

Abstract

State-of-the-art models based on nuclear Density Functional Theory are successful in the description of nuclei throughout the whole nuclear chart. Among them, some differences arise regarding their accuracy. For a given nuclear model, this depends on the procedure adopted to determine the parameters, and, at the same time, new experimental findings constantly challenge theory. In the present work, we present a Bayesian inference study aimed at assessing the performance of the Skyrme Energy Density Functional. For the sake of simplicity and clarity, we restrict to spherical, double-magic nuclei, giving equal emphasis to ground-state and dynamical properties. Our basic constraints are: i) masses and charge radii, which are known to be very sensitive to the saturation energy and density; ii) spin-orbit splittings, which are associated with the spin-orbit parameter(s); iii) the electric dipole polarizability and parity-violating asymmetry, which are associated with the density dependence of the symmetry energy; iv) the excitation energy of the Isoscalar Giant Monopole Resonance, to constrain the nuclear matter incompressibility; v) the energy-weighted sum rule of the Isovector Giant Dipole Resonance, to account for the isovector effective mass; and vi) the excitation energy of the Isoscalar Quadrupole Resonance, that is related to the isoscalar effective mass. In this way, we test the Skyrme ansatz in a statistically meaningful way, by determining the posterior distributions of the parameters as well as their correlation, and discussing a possible strategy for future developments.

15 pages, 6 figures

References in corpus (28)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• New parametrization for the nuclear covariant energy density functional with point-coupling interaction
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• The Skyrme Interaction in finite nuclei and nuclear matter
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Higher-order effects on the incompressibility of isospin asymmetric nuclear matter
• Density dependence of the nuclear symmetry energy: a microscopic perspective
• Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Giant Quadrupole Resonances in 208Pb, the nuclear symmetry energy and the neutron skin thickness
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Constraints on Nuclear Symmetry Energy Parameters
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Quantified limits of the nuclear landscape
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Optimizing the relativistic energy density functional with nuclear ground state and collective excitation properties
• Bayesian Inference of the Symmetry Energy and the Neutron Skin in ${}^{48}$Ca and ${}^{208}$Pb from CREX and PREX-2
• Implications of parity-violating electron scattering experiments on ${}^{48}$Ca (CREX) and ${}^{208}$Pb (PREX-II) for nuclear energy density functionals
• Solution of Hartree-Fock-Bogoliubov equations and fitting procedure using N2LO Skyrme pseudo-potential in spherical symmetry
• Compiled Properties of Nucleonic Matter and Nuclear and Neutron Star Models from Non-Relativistic and Relativistic Interactions
• Are There Nuclear Structure Effects on the Isoscalar Giant Monopole Resonance and Nuclear Incompressibility near A~90?
• Constraining isovector nuclear interactions with giant resonances within a Bayesian approach
• Covariant Density Functional Theory with Localized Exchange Terms
• Constraining isovector nuclear interactions with giant dipole resonance and neutron skin in ${}^{208}$Pb from a Bayesian approach
• Bayesian inference of finite-nuclei observables based on the KIDS model
• Controlling extrapolations of nuclear properties with feature selection
• Constraints on the Nuclear Symmetry Energy from Experiments, Theory and Observations

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