Estimating the relevance of predictions from nuclear mean-field models

Abstract

This contribution reviews the present status of the Skyrme-Hartree-Fock (SHF) approach as one of the leading self-consistent mean-field models in the physics of atomic nuclei. It starts with a brief summary of the formalism and strategy for proper calibration of the SHF functional. The main emphasis lies on an exploration of the reliability of predictions, particularly in the regime of extrapolations. Various strategies are discussed to explore the statistical and systematic errors of SHF. The strategies are illustrated on examples from actual applications. Variations of model and fit data are used to get an idea about systematic errors. The statistical error is evaluated in straightforward manner by statistical analysis based on ${\chi }^2$ fits. This also allows also to evaluate the correlations (covariances) between observables which provides useful insights into the structure of the model and of the fitting strategy.

manuscrtip submitted to Physica Scripta

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Cited by in corpus (12)

• A Minimal Nuclear Energy Density Functional
• Finite Nuclei in the Quark-Meson Coupling (QMC) Model
• Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Information content of the differences in the charge radii of mirror nuclei
• Sensitivity of the fusion cross section to the density dependence of the symmetry energy
• Deformation-induced splitting of isoscalar E0 giant resonance: Skyrme random-phase-approximation analysis
• Sloppy nuclear energy density functionals: effective model reduction
• The Role of Baryon Structure in Neutron Stars
• The phonon-coupling model for Skyrme forces
• Stability of the manifold boundary approximation method for reductions of nuclear structure models
• Statistical correlations of nuclear quadrupole deformations and charge radii