The effect of realistic nuclear charge distributions on isotope shifts and towards the extraction of higher order nuclear radial moments

Abstract

Background: Atomic spectral lines from different isotopes display a small shift in energy, commonly referred to as the line isotope shift. One of the components of the isotope shift is the field shift, which depends on the extent and the shape of the nuclear charge density distribution. Purpose: To investigate how sensitive field shifts are with respect to variations in the nuclear size and shape and what information of nuclear charge distributions that can be extracted from measured field shifts. Methods: Nuclear properties are obtained from nuclear density functional theory calculations based on the Skyrme-Hartree-Fock-Bogoliubov approach. These results are combined with multiconfiguration Dirac-Hartree-Fock methods to obtain realistic field shifts. Results: Phenomena such as nuclear deformation and variations in the diffuseness of nuclear charge distributions give measurable contributions to the field shifts. Using a novel approach, we demonstrate the possibility to extract new information concerning the nuclear charge densities from the observed field shifts. Conclusions: Combining methods used in atomic and nuclear structure theory gives an improved description of field shifts. Extracting additional nuclear information from measured field shifts is possible in the near future with improved experimental methods.

References in corpus (8)

• Muonic hydrogen and the proton radius puzzle
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• Axially deformed solution of the Skyrme-Hartree-Fock-Bogolyubov equations using the transformed harmonic oscillator basis (II) HFBTHO v2.00d: a new version of the program
• Isotope shift in the dielectronic recombination of three-electron ^{A}Nd^{57+}
• Nuclear deformation effect on the binding energies in heavy ions
• Mass- and field-shift isotope parameters for the $2s-2p$ resonance doublet of lithium-like ions
• Relativistic calculations of the isotope shifts in highly charged Li-like ions
• Theoretical isotope shifts in neutral barium

Cited by in corpus (19)

• Laser Spectroscopy for the Study of Exotic Nuclei
• Evidence for Nonlinear Isotope Shift in Yb${}^{+}$ Search for New Boson
• Isotope shift, non-linearity of King plots and the search for new particles
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• Beyond the charge radius: the information content of the fourth radial moment
• Multiconfiguration calculations of electronic isotope shift factors in Al I
• Multiconfiguration calculations of electronic isotope shift factors in Zn I
• Second and fourth moments of the charge density and neutron-skin thickness of atomic nuclei
• Isotope shifts for ${}^1{S}_0-{}^3{P}_{0,1}^o$ Yb lines from multi-configuration Dirac-Hartree-Fock calculations
• Precision measurement of the magnetic octupole moment in ${}^{45}$Sc as a test for state-of-the-art atomic- and nuclear-structure theory
• MCDHF-CI calculations for Hg and Cd with estimates for unknown clock transition frequencies
• Refined theoretical values of field and mass isotope shifts in thallium to extract charge radii of Tl isotopes
• Electronic isotope shift factors for the Ir $5d^{7}6s^{2} \ ^{4}\!F_{9/2} \to (\mbox{odd},J= 9/2)$ line at 247.587 nm
• Isotope shifts of the $1s^{2}2s2p(J)$ -$1s^{2}2s^2$ transition energies in Be-like thorium and uranium
• Extraction of the second and fourth radial moments of nuclear charge density from the elastic electron-nucleus scattering
• The extraction of higher-order radial moments of nuclear charge density from muonic atom spectroscopy
• Modelling of transient interference phenomena in collinear laser spectroscopy
• Evidence of Two-Source King Plot Nonlinearity in Spectroscopic Search for New Boson
• Fingerprints of triaxiality in the charge radii of neutron-rich Ruthenium