Statistical correlations of nuclear quadrupole deformations and charge radii

Background: Shape deformations and charge radii, basic properties of atomic nuclei, are influenced by both the global features nuclear force nucleonic shell structure. As functions proton neutron number, quantities show regular patterns and, for nuclei away from magic numbers, they change very smoothly nucleus to nucleus.Purpose: In this paper, we explain how local effects impacting statistical correlations between quadrupole radii in well-deformed even-even Er, Yb, Hf isotopes. This implies, turn, that sudden changes can be useful indicators underlying effects.Methods: Our theoretical analysis is performed framework self-consistent mean-field theory using quantified energy density functionals density-dependent pairing forces. The carried out means linear least-square regression.Results: variations explained terms occupations individual deformed Hartree-Fock orbits, make imprint on computed observables. While calculated or are, some cases, correlated with those their neighbors, seem deteriorate rapidly particle number.Conclusions: different affected Even well superfluid which these observables smoothly, correlation range rather short. result suggests frequently made assumption reduced errors differences smoothly-varying cannot generally justified.