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.

7 pages, 3 figures

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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