Nuclear charge radii of germanium isotopes around $N$ = 40

Abstract

Collinear laser spectroscopy measurements were performed on ${}^{68-74}$Ge isotopes ($Z=32$) at ISOLDE-CERN, by probing the $4s^{2}4p^2{}^3{P}_1\to 4s^{2}4p5s{}^3{P}_1^o$ atomic transition (269~nm) of germanium. Nuclear charge radii are determined via the measured isotope shifts, revealing a larger local variation than the neighboring isotopic chains. Nuclear density functional theory with the Fayans functionals Fy($\Delta r$,HFB) and Fy(IVP), and the SV-min Skyrme describes the experimental data for the differential charge radii $\delta ⟨r^2⟩$ and charge radii $R_{\mathrm{c}}$ within the theoretical uncertainties. The observed large variation in the charge radii of germanium isotopes is better accounted for by theoretical models incorporating ground state quadrupole correlations. This suggests that the polarization effects due to pairing and deformation contribute to the observed large odd-even staggering in the charge radii of the Ge isotopic chain.

arXiv comment6 pages,5 figures

References in corpus (20)

• Error Estimates of Theoretical Models: a Guide
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• One-quasiparticle States in the Nuclear Energy Density Functional Theory
• Laser Spectroscopy for the Study of Exotic Nuclei
• Charge radii of exotic potassium isotopes challenge nuclear theory and the magic character of $N=32$
• High-precision mass measurements of nickel, copper, and gallium isotopes and the purported shell closure at N=40
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• Shape Coexistence in 78 Ni and the new Island of Inversion
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• AMBiT: A program for high-precision relativistic atomic structure calculations
• Nuclear Charge Radii of the Nickel Isotopes ${}^{58-68,70}$Ni
• Shape coexistence and the role of axial asymmetry in ${}^{72}$Ge
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Structural evolution in germanium and selenium nuclei within the mapped interacting boson model based on the Gogny energy density functional
• Triaxiality and shape coexistence in Germanium isotopes
• Charge radii of ${}^{55,56}$Ni reveal a surprisingly similar behavior at $N=28$ in Ca and Ni isotopes
• Error estimates for the Skyrme-Hartree-Fock model
• Nuclear Moments of Germanium Isotopes around $N$ = 40
• Further evidence for shape coexistence in ${}^{79}$Zn${}^m$ near doubly-magic ${}^{78}$Ni
• Electromagnetic moments of the odd-mass nickel isotopes ${}^{59-67}$Ni