Nuclear charge radii of Na isotopes: A tale of two theories

Abstract

The accuracy of atomic theory calculations limits the extraction of nuclear charge radii from isotope shift measurements of odd-proton nuclei. For Na isotopes, though precise spectroscopic measurements have existed since more than half a century, calculations by different methods offer a wide range of values. Here, we present accurate atomic calculations to reliably extract the Na charge radii. By combining experimental matter radii with nuclear coupled-cluster calculations based on nucleon-nucleon and three-nucleon forces, we constrain the parameters obtained from the atomic calculations. Therefore, this study guides atomic theory and highlights the importance of using accurate atomic and nuclear computations in our understanding of the size of light nuclei.

References in corpus (41)

• Coupled-cluster computations of atomic nuclei
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Charge, neutron, and weak size of the atomic nucleus
• Ab Initio Calculations of Medium-Mass Nuclei with Normal-Ordered Chiral NN+3N Interactions
• A nucleus-dependent valence-space approach to nuclear structure
• Coupled-cluster theory for three-body Hamiltonians
• Novel chiral Hamiltonian and observables in light and medium-mass nuclei
• Nuclear Sizes and the Isotope Shift
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Charge radii of exotic potassium isotopes challenge nuclear theory and the magic character of $N=32$
• Relativistic calculations of isotope shifts in highly charged ions
• Measurement and microscopic description of odd-even staggering of charge radii of exotic copper isotopes
• Radii and binding energies in oxygen isotopes: a puzzle for nuclear forces
• Shell Model Description of Isotope Shifts in Calcium
• Laser Probing of Neutron-Rich Nuclei in Light Atoms
• Ab initio multi-shell valence-space Hamiltonians and the island of inversion
• Charge radii of exotic neon and magnesium isotopes
• Properties of nuclei up to $A=16$ using local chiral interactions
• Relativistic recoil, electron-correlation, and QED effects on the 2p_j-2s transition energies in Li-like ions
• In-medium similarity renormalization group with three-body operators
• Isotope shift calculations for atoms with one valence electron
• Natural orbitals for ab initio no-core shell model calculations
• Precision spectroscopy of the 3s-3p fine structure doublet in Mg+
• Shell-model coupled-cluster method for open-shell nuclei
• Relativistic corrections to isotope shift in light ions
• In-gas-cell laser ionization spectroscopy in the vicinity of 100Sn: Magnetic moments and mean-square charge radii of N=50-54 Ag
• Nuclear Charge Radii of ${}^{10,11}$B
• Changes in nuclear structure along the Mn isotopic chain studied via charge radii
• Explicitly correlated wave function for a boron atom
• High-resolution laser spectroscopy of ${}^{27-32}$Al
• Natural orbitals for many-body expansion methods
• Moving away from singly-magic nuclei with Gorkov Green's function theory
• Analytic Response Relativistic Coupled-Cluster Theory: The first application to indium isotope shifts
• Non-linear isotope-shift effects in Be-like, B-like, and C-like argon
• Isotope shifts of the 2$p_{3/2}$-2$p_{1/2}$ transition in B-like ions
• Isotope shifts in ${}^{20,22}$Ne -- Precision measurements and global analysis in the framework of intermediate coupling
• Laser spectroscopy of indium Rydberg atom bunches by electric field ionization
• Fine and hyperfine splitting of the low-lying states of ${}^9$Be
• Benchmarking Many-body Approaches for the Determination of Isotope Shift Constants: Application to the Li, Be${}^{+}$ and Ar${}^{15+}$ Isoelectronic Systems

Cited by in corpus (9)

• Laser Spectroscopy for the Study of Exotic Nuclei
• Isotope Shifts in Cadmium as a Sensitive Probe for Physics Beyond the Standard Model
• Critical evaluation of reference charge radii and applications in mirror nuclei
• Study of structure and radii for ${}^{20-31}$Na isotopes using microscopic interactions
• All-optical Differential Radii in Zinc
• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size
• King-plot analysis of isotope shifts in simple diatomic molecules
• Modelling of transient interference phenomena in collinear laser spectroscopy
• Ab initio no-core shell-model study of ${}^{20-23}$Na isotopes