Why is lead so kinky?

Abstract

We revisit the problem of the kink in the charge radius shift of neutron-rich even lead isotopes. We show that the ability of a Skyrme force to reproduce the isotope shift is determined by the occupation of the neutron 1i11/2 orbital beyond N=126 and the corresponding change it causes to deeply-bound protons orbitals with a principal quantum number of 1. Given the observed position of the single-particle energies, one must either ensure occupation is allowed through correlations, or not demand that the single-particle energies agree with experimental values at the mean-field level.

5 pages, 5 figures

References in corpus (5)

• Skyrme Interaction and Nuclear Matter Constraints
• Measurement of the Neutron Radius of 208Pb Through Parity-Violation in Electron Scattering
• The Skyrme Interaction in finite nuclei and nuclear matter
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• Ab-initio approach to effective single-particle energies in doubly closed shell nuclei

Cited by in corpus (27)

• Low-Energy Heavy-Ion Reactions and the Skyrme Effective Interaction
• Laser spectroscopy of neutron-rich ${}^{207,208}$Hg isotopes: Illuminating the kink and odd-even staggering in charge radii across the $N=126$ shell closure
• Charge radii in covariant density functional theory: a global view
• First measurement of several $\beta$-delayed neutron emitting isotopes beyond N=126
• Swelling of doubly magic ${}^{48}$Ca core in Ca isotopes beyond $N=28$
• The electric dipole response of ${}^{76}$Se above 4 MeV
• Irregularities in nuclear radii at magic numbers
• Further evidence for three-nucleon spin-orbit interaction in isotope shifts of $Z=\mathrm{magic}$ nuclei
• $\beta$-decay half-lives and $\beta$-delayed neutron emission probabilities for several isotopes of Au, Hg, Tl, Pb and Bi, beyond N=126
• Nuclear charge radius predictions by kernel ridge regression with odd-even effects
• Novel ansatz for charge radii in density functional theories
• Odd-even shape staggering and kink structure of charge radii of Hg isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Spin-orbit interaction in relativistic nuclear structure models
• Neutron-skin thickness determines the surface tension of a compressible nuclear droplet
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• Charge radii, moments and masses of mercury isotopes across the N = 126 shell closure
• Isotopic shift and search of magic number in the superheavy region
• The kinks in charge radii across $N$ = 82 and 126 revisited
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Impacts of the tensor couplings of $\omega$ and $\rho$ mesons and Coulomb exchange terms on super-heavy nuclei and their relation to symmetry energy
• Impact of intrinsic electromagnetic structure on the nuclear charge radius in relativistic density functional theory
• The charge radii of calcium isotopes within relativistic density functional theory: nucleon's finite-size and quadrupole shape fluctuation effects
• Significance of tensor force in pseudo-spin symmetry
• Cause of the charge radius isotope shift at the \emph{N}=126 shell gap
• Can realistic interaction be useful for nuclear mean-field approaches?