Nuclear charge densities in spherical and deformed nuclei: Toward precise calculations of charge radii

Background: Precise measurements of atomic transitions affected by electron-nucleus hyperfine interactions offer sensitivity to explore basic properties the nucleus and study fundamental symmetries, including search for new physics beyond standard model particle physics. In particular, such measurements, augmented nuclear calculations, will enable extraction higher-order radial moments charge-density distribution in spherical deformed nuclei. The data impose higher precision requirements on a theoretical description.Purpose: charge density is composed proton point folded with nucleonic distributions. latter induce subtle relativistic corrections due coupling nucleon magnetic spin-orbit density. Additional come from effect center-of-mass projection. We assess calculations studying behavior motion second fourth moments. Special attention has been paid associated local variations current.Methods: semimagic open-shell nuclei are performed framework self-consistent mean-field theory using quantified energy functionals density-dependent pairing forces. used general expression form factor that valid nuclei.Results: studied impact various correction terms radii, moments, diffraction surface thickness show strong shell fluctuations which can make an appreciable when aiming at high-precision predictions isotopic shifts. inclusion impacts quality optimized radii data.Conclusions: To establish reliable constraints existence forces isotope shift precise densities needed. proper other essential effects become particularly visible trends. It also important developing high-quality heterogeneous datasets involving absolute differential deduced electron-scattering data.