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 .

arXiv comment5 pages, 4 figures

References in corpus (25)

• Search for New Physics with Atoms and Molecules
• Unexpectedly large charge radii of neutron-rich calcium isotopes
• Error Estimates of Theoretical Models: a Guide
• Highly charged ions: optical clocks and applications in fundamental physics
• Probing new light force-mediators by isotope shift spectroscopy
• Nuclear Skins and Halos in the Mean-Field Theory
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Near-Unitary Spin Squeezing in ${}^{171}$Yb
• From finite nuclei to the nuclear liquid drop: leptodermous expansion based on the self-consistent mean-field theory
• Isotope shift, non-linearity of King plots and the search for new particles
• Constraining New Physics Models with Isotope Shift Spectroscopy
• Precision isotope shift measurements in Ca${}^{+}$ using highly sensitive detection schemes
• Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
• Probing new spin-independent interactions through precision spectroscopy in atoms with few electrons
• Precision measurement of atomic isotope shifts using a two-isotope entangled state
• Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
• Probing new intra-atomic force with isotope shifts
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Probing "long-range" neutrino-mediated forces with atomic and nuclear spectroscopy
• An HFB scheme in natural orbitals
• Analytic Response Relativistic Coupled-Cluster Theory: The first application to indium isotope shifts
• Laser Cooling of Radium Ions
• The effect of realistic nuclear charge distributions on isotope shifts and towards the extraction of higher order nuclear radial moments
• A stabilized pairing functional
• Measurements of electric quadrupole transition frequencies in ${}^{226}$Ra${}^{+}$

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• Information content of the differences in the charge radii of mirror nuclei
• Prediction of Nuclear Charge Density Distribution with Feedback Neural Network
• Probing new bosons and nuclear structure with ytterbium isotope shifts
• 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 $62$
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• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• 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
• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• 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
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• Cross sections of solar neutrino capture by 127I nuclei and Gamow Teller resonances
• Implication of odd-even staggering in the charge radii of calcium isotopes
• Evidence of Two-Source King Plot Nonlinearity in Spectroscopic Search for New Boson
• Statistical correlations of nuclear quadrupole deformations and charge radii