${\beta }^2$ corrections to spherical EDF calculations for root-mean-square charge radii

Abstract

Root-mean-square charge radii are discussed in terms of spherical Energy Density Functional (EDF) models corrected for quadrupole deformations. Comparisons between experiment and theory are made for the absolute radii of all even-even nuclei, for the isotonic shift between cadmium and tin isotopes, the isotopic shifts of the calcium isotopes and the isotonic shift for nuclei with $N=28$. We conclude that the data are well described in this approach, except for the sharp rise just after the neutron magic numbers.

References in corpus (15)

• Structure of even-even nuclei using a mapped collective Hamiltonian and the D1S Gogny interaction
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Nuclear isotope shifts within the local energy-density functional approach
• Shell Model Description of Isotope Shifts in Calcium
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Landscape of pear-shaped even-even nuclei
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• Charge radii in covariant density functional theory: a global view
• Constraints on Skyrme Equations of State from Properties of Doubly Magic Nuclei and Ab-Initio Calculations of Low-Density Neutron Matter
• Difference in proton radii of mirror nuclei as a possible surrogate for the neutron skin
• Information content of the differences in the charge radii of mirror nuclei
• Core swelling in spherical nuclei: An indication of the saturation of nuclear density
• Pairing core swelling effect in Pb isotopes at $N>126$
• Relation Between a Three Parameter Formula for Isotope Shifts and Staggering Parameters

Cited by in corpus (2)

• Nuclear charge radii of silicon isotopes
• The charge radii of calcium isotopes within relativistic density functional theory: nucleon's finite-size and quadrupole shape fluctuation effects