Error estimates for the Skyrme-Hartree-Fock model

Abstract

There are many complementing strategies to estimate the extrapolation errors of a model which was calibrated in least-squares fits. We consider the Skyrme-Hartree-Fock model for nuclear structure and dynamics and exemplify the following five strategies: uncertainties from statistical analysis, covariances between observables, trends of residuals, variation of fit data, dedicated variation of model parameters. This gives useful insight into the impact of the key fit data as they are: binding energies, charge r.m.s. radii, and charge formfactor. Amongst others, we check in particular the predictive value for observables in the stable nucleus ${}^{208}$Pb, the super-heavy element ${}^{266}$Hs, $r$-process nuclei, and neutron stars.

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Cited by in corpus (23)

• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Dipole polarizability of 120Sn and nuclear energy density functionals
• Fission barriers and probabilities of spontaneous fission for elements with Z$\ge$100
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Electric and magnetic dipole strength in 112,114,116,118,120,124Sn
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Statistical aspects of nuclear mass models
• Implications of parity-violating electron scattering experiments on ${}^{48}$Ca (CREX) and ${}^{208}$Pb (PREX-II) for nuclear energy density functionals
• 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
• Evolution of the dipole polarizability in the stable tin isotope chain
• Deformation-induced splitting of isoscalar E0 giant resonance: Skyrme random-phase-approximation analysis
• Sloppy nuclear energy density functionals: effective model reduction
• Toward ab initio charge symmetry breaking in nuclear energy density functionals
• The nucleon effective mass and its isovector splitting
• The phonon-coupling model for Skyrme forces
• Statistical errors in Weizsaecker-Skyrme mass model
• Nuclear charge radii of germanium isotopes around $N$ = 40
• Constraining neutron star properties through parity-violating electron scattering experiments and relativistic point coupling interactions
• Statistical correlations of nuclear quadrupole deformations and charge radii
• Nuclear Energy Density Optimization: UNEDF2