Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb

Abstract

Neutron skins of neutron-rich nuclei connect nuclei with the matter in neutron stars. High-precision measurements of nuclear charge densities to extract higher-order moments are proposed to be sensitive to neutron radii and skin thicknesses. We investigate the charge density of ${}^{48}$Ca and ${}^{208}$Pb, leading candidates for such studies, with ab initio nuclear structure calculations. We find strong correlations between the fourth-order charge density moment $R_{\mathrm{ch}}^4$ and the charge and neutron radii, allowing us to predict $R_{\mathrm{ch}}^4$ for ${}^{48}$Ca and ${}^{208}$Pb. We find a substantially weaker correlation between the fourth-order charge density moment and the neutron skin, limiting the ability of high-precision electron scattering to determine the neutron skin in a model-independent manner.

arXiv comment7 pages, 3 figures

References in corpus (54)

• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Accurate Charge-Dependent Nucleon-Nucleon Potential at Fourth Order of Chiral Perturbation Theory
• Isospin Asymmetry in Nuclei and Neutron Stars
• Neutron Star Structure and the Neutron Radius of 208Pb
• Accurate Determination of the Neutron Skin Thickness of ${}^{208}$Pb through Parity-Violation in Electron Scattering
• Improved nuclear matter calculations from chiral low-momentum interactions
• Implications of PREX-II on the equation of state of neutron-rich matter
• Coupled-cluster computations of atomic nuclei
• Complete electric dipole response and the neutron skin in 208Pb
• Accurate nuclear radii and binding energies from a chiral interaction
• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• The information content of a new observable: the case of the nuclear neutron skin
• Charge, neutron, and weak size of the atomic nucleus
• Relativistic effective interaction for nuclei, giant resonances, and neutron stars
• Precision Determination of the Neutral Weak Form Factor of ${}^{48}$Ca
• Electric dipole polarizability and the neutron skin
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Ab initio predictions link the neutron skin of ${}^{208}$Pb to nuclear forces
• The neutron skin thickness from the measured electric dipole polarizability in ${}^{68}$Ni, ${}^{120}$Sn, and ${}^{208}$Pb
• Neutron skin of ${}^{208}$Pb from Coherent Pion Photoproduction
• Electric dipole polarizability of ${}^{48}$Ca and implications for the neutron skin
• Accurate bulk properties of nuclei from $A=2$ to $\infty$ from potentials with $\Delta$ isobars
• Proton and neutron electromagnetic form factors and uncertainties
• Quantifying uncertainties and correlations in the nuclear-matter equation of state
• Neutron density distributions from antiprotonic 208Pb and 209Bi atoms
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Neutron skins of atomic nuclei: per aspera ad astra
• Combined theoretical analysis of the parity-violating asymmetry for ${}^{48}$Ca and ${}^{208}Pb$
• Solution of the center-of-mass problem in nuclear structure calculations
• Self-consistent Green's function theory for atomic nuclei
• In-medium similarity renormalization group with three-body operators
• Coherent elastic neutrino-nucleus scattering on 40Ar from first principles
• Nuclear Currents in Chiral Effective Field Theory
• Beyond the charge radius: the information content of the fourth radial moment
• Can the PREX-2 and CREX results be understood by relativistic mean-field models with the astrophysical constraints?
• Implications of parity-violating electron scattering experiments on ${}^{48}$Ca (CREX) and ${}^{208}$Pb (PREX-II) for nuclear energy density functionals
• Nucleonic metamodelling in light of multimessenger, PREX-II and CREX data
• Impact of two-body currents on magnetic dipole moments of nuclei
• Probing new bosons and nuclear structure with ytterbium isotope shifts
• Symmetry energy, neutron skin, and neutron star radius from chiral effective field theory interactions
• Natural orbitals for many-body expansion methods
• Normal ordering of three-nucleon interactions for ab initio calculations of heavy nuclei
• Nuclear neutron radius and weak mixing angle measurements from latest COHERENT CsI and atomic parity violation Cs data
• Electric dipole polarizability of ${}^{40}$Ca
• Improved structure of calcium isotopes from ab initio calculations
• Coherent-Nuclear Pion Photoproduction and Neutron Radii
• QED corrections to the parity-violating asymmetry in high-energy electron-nucleus collisions
• Uncertainty quantification for $\mu \to e$ conversion in nuclei: charge distributions
• Ab initio calculations of overlap integrals for $\mu \to e$ conversion in nuclei
• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• Connecting Relativistic Density Functional Theory to Microscopic Calculations
• Bridging reaction theory and nuclear structure in ${\pi }^{\pm }$-${}^{48}$Ca scattering

Cited by in corpus (4)

• Ab initio computations of the fourth-order charge density moments of ${}^{48}$Ca and ${}^{208}$Pb
• Model-independent determination of nuclear charge radii from Li-like ions
• Ab initio calculations of nuclear charge radii across and beyond ${}^{132}$Sn: Putting chiral EFT nuclear interactions to the test
• Computational schemes for the Magnus expansion of the in-medium similarity renormalization group