Beyond the charge radius: the information content of the fourth radial moment

Abstract

Measurements of atomic transitions in different isotopes offer key information on the nuclear charge radius. The anticipated high-precision experimental techniques, augmented by atomic calculations, will soon enable extraction of the higher-order radial moments of the charge density distribution. To assess the value of such measurements for nuclear structure research, we study the information content of the fourth radial moment $\rf$ by means of nuclear density functional theory and a multiple correlation analysis. We show that $\rf$ can be directly related to the surface thickness of nuclear density, a fundamental property of the atomic nucleus that is difficult to obtain for radioactive systems. Precise knowledge of these radial moments is essential to establish reliable constraints on the existence of new forces from precision isotope shift measurements .

5 pages, 4 figures

References in corpus (10)

• Near-Unitary Spin Squeezing in ${}^{171}$Yb
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Probing new spin-independent interactions through precision spectroscopy in atoms with few electrons
• Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Probing new intra-atomic force with isotope shifts
• Analytic Response Relativistic Coupled-Cluster Theory: The first application to indium isotope shifts
• Laser Cooling of Radium Ions
• A stabilized pairing functional
• Measurements of electric quadrupole transition frequencies in ${}^{226}$Ra${}^{+}$

Cited by in corpus (31)

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• Probing new bosons and nuclear structure with ytterbium isotope shifts
• Prediction of Nuclear Charge Density Distribution with Feedback Neural Network
• Sensitivity to New Physics of Isotope Shift Studies using the Coronal Lines of Highly Charged Calcium Ions
• Constraining nuclear symmetry energy with the charge radii of mirror-pair nuclei
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• 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
• Laser spectroscopy of indium Rydberg atom bunches by electric field ionization
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• MCDHF-CI calculations for Hg and Cd with estimates for unknown clock transition frequencies
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Optimization and Supervised Machine Learning Methods for Fitting Numerical Physics Models without Derivatives
• Measurements of electric quadrupole transition frequencies in ${}^{226}$Ra${}^{+}$
• Evolution of nuclear charge radii in copper and indium isotopes
• Revisiting the extraction of charge radii of ${}^{40}$Ca and ${}^{208}$Pb with muonic atom spectroscopy
• King-plot analysis of isotope shifts in simple diatomic molecules
• Direct measurement of the $7s{}^2{S}_{1/2}\to$ $7p{}^2{P}_{3/2}$ transition frequency in ${}^{226}$Ra${}^{+}$
• Isotope-shift analysis with the $4f^{14}6s^2{}^1{S}_0-4f^{13}5d6s^2(J=2)$ transition in ytterbium
• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• Extraction of the second and fourth radial moments of nuclear charge density from the elastic electron-nucleus scattering
• Multipole responses in fissioning nuclei and their uncertainties
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line
• Modelling of transient interference phenomena in collinear laser spectroscopy
• Implication of odd-even staggering in the charge radii of calcium isotopes
• Statistical correlations of nuclear quadrupole deformations and charge radii
• Evidence of Two-Source King Plot Nonlinearity in Spectroscopic Search for New Boson
• Cross sections of solar neutrino capture by 127I nuclei and Gamow Teller resonances