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

TL;DR

This paper improves spherical Energy Density Functional models by including $eta^{2}$ corrections to better predict root-mean-square charge radii, showing good agreement with experimental data across various isotopic chains.

Contribution

It introduces $eta^{2}$ corrections to spherical EDF calculations, enhancing the accuracy of charge radii predictions for even-even nuclei.

Findings

Good agreement with experimental charge radii data

Accurate reproduction of isotonic and isotopic shifts

Discrepancy near neutron magic numbers

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.