Core swelling in spherical nuclei: An indication of the saturation of nuclear density

Abstract

Background: Nuclear radius is one of the most important and basic properties of atomic nuclei and its evolution is closely related to the saturation of the nuclear density in the internal region but the systematics of the nuclear radii for the neutron-rich unstable nuclei is not well known. Purpose: Motivated by the recent interaction cross section measurement which indicates the 48Ca core swelling in the neutron-rich Ca isotopes, we explore the mechanism of the enhancement of the neutron and proton radii for spherical nuclei. Methods: Microscopic Hartree-Fock calculations with three sets of Skyrme-type effective interactions are performed for the neutron-rich Ca, Ni and Sn isotopes. The total reaction cross sections for the Ca isotopes are evaluated with the Glauber model to compare them with the recent cross section data. Results: We obtain good agreement with the measured cross sections and charge radii. The neutron and proton radii of the various "core" configurations are extracted from the full Hartree-Fock calculation and discuss the core swelling mechanism. Conclusions: The core swelling phenomena occur depending on the properties of the occupying valence single-neutron states to minimize the energy loss that comes from the saturation of the densities in the internal region, which appears to be prominent in light nuclei such as Ca isotopes.

6 pages, 4 figures, to appear in a Rapid Communication in Phys. Rev. C

References in corpus (10)

• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Evolution of shell structure in neutron-rich calcium isotopes
• ${}^{22}$C: $S$-Wave Two-Neutron Halo
• Swelling of doubly magic ${}^{48}$Ca core in Ca isotopes beyond $N=28$
• Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei
• Elastic and total reaction cross sections of oxygen isotopes in Glauber theory
• Exploring two-neutron halo formation in the ground-state of ${}^{29}$F within a three-body model
• Two-neutron halo structure of ${}^{31}$F and a novel pairing anti-halo effect
• $g$-matrix folding-model approach to reaction cross sections for scattering of Ca isotopes on a C target
• Neutron-skin thickness determines the surface tension of a compressible nuclear droplet

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• Density profiles near nuclear surface of ${}^{44,52}$Ti: An indication of $\alpha$ clustering
• Pairing core swelling effect in Pb isotopes at $N>126$
• ${\beta }^2$ corrections to spherical EDF calculations for root-mean-square charge radii
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Enlarged deformation region in neutron-rich Zr isotopes by the second intruder orbit
• Incomplete absorption reactions at high energy
• Utility of antiproton-nucleus scattering for probing nuclear surface density distributions
• Deformation, halo, and bubble structure: A paradigm shift of exotic phenomena in light to medium mass nuclei