Nuclear ground-state properties probed by the relativistic Hartree–Bogoliubov approach

Zi Xin Liu, Yi Hua Lam, Ning Lu, Peter Ring

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Abstract

Using the relativistic Hartree–Bogoliubov approach with separable pairing force coupled with the latest point-coupling and meson-exchange covariant density functionals, i.e., PC-L3R, PC-X, DD-MEX, and DD-PCX, we systematically explore the ground-state properties of all isotopic chains from oxygen (Z=8) to darmstadtium (Z=110). These properties consist of the binding energies (Eb), one- and two-neutron separation energies (Sn and S2n), root-mean-square radii of matter (Rm), of neutron (Rn), of proton (Rp) and of charge (Rc) distributions, Fermi surfaces (λ), ground-state spins (J) and parities (π). We then use these calculated properties to predict the edges of nuclear landscape and bound nuclei for the isotopic chains of Z = 8–110. The number of bound nuclei predicted by PC-L3R, PC-X, DD-MEX, and DD-PCX, are 9004, 9162, 7112, and 6799, respectively. These latest covariant density functionals produce a set of rather similar proton drip lines due to the strong repulsive Coulomb force shifting up the single-proton energy of the proton-rich nuclei. PC-L3R and PC-X estimate more extended borders of the neutron-rich region compared with the neutron drip lines estimated by DD-MEX, and DD-PCX. Meanwhile, the root-mean-square deviations of one- (two-) neutron separation energies yielded from PC-L3R, PCX, DD-MEX, and DD-PCX are 0.962 (1.300) MeV, 0.920 (1.483) MeV, 1.010 (1.544) MeV, and 0.993 (1.753) MeV, respectively. The deviations of theoretical Sn, S2n, and charge radii from the available experimental ones increase at the regions further away from the proton magic numbers, indicating the important role of deformation in these regions. The root-mean-square deviations of charge radius distributions of comparing the available experimental values with the theoretical counterparts resulted from PC-L3R, PC-X, DD-MEX, and DD-PCX are 0.035 fm, 0.037 fm, 0.034 fm, and 0.035 fm, respectively. We compute and present the root-mean-square radii of neutron distributions for all isotopes of 8≤Z≤110 with respect to the empirical Rn. Basically, the systematic trends of the theoretical root-mean-square radii of neutron distributions generated from PC-L3R and PC-X closely follow the empirical Rn, except for the region of extreme neutron-rich nuclei, whereas DD-PCX produces a trend lower than the empirical Rn at the N<150 region. We notice pronounced differences between the empirical and theoretical Rn at nuclei near the neutron drip line of the Mg, Ca, and Kr isotopic chains, suggesting the possible existence of the halo or giant halo phenomena.

Original languageEnglish
Article number101635
JournalAtomic Data and Nuclear Data Tables
Volume156
DOIs
StatePublished - Feb 2024

Keywords

  • Binding energies
  • Charge radius distribution
  • Driplines
  • Nuclear density functional theory
  • Nucleon separation energies
  • Relativistic Hartree-Bogoliubov

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