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.

References in corpus (4)

• Shapiro delay measurement of a two solar mass neutron star
• The Skyrme Interaction in finite nuclei and nuclear matter
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Systematics of collective correlation energies from self-consistent mean-field calculations

Cited by in corpus (6)

• Electric and magnetic dipole strength in 112,114,116,118,120,124Sn
• Information content of the differences in the charge radii of mirror nuclei
• Evolution of the dipole polarizability in the stable tin isotope chain
• Deformation-induced splitting of isoscalar E0 giant resonance: Skyrme random-phase-approximation analysis
• Statistical errors in Weizsaecker-Skyrme mass model
• Nuclear Energy Density Optimization: UNEDF2