Information content of the differences in the charge radii of mirror nuclei

Abstract

Differences in the charge radii of mirror nuclei have been recently suggested to contain information on the slope of the symmetry energy L. To test this hypothesis, we perform statistical correlation analysis using quantified energy density functionals that are consistent with our previous knowledge on global nuclear observables such as binding energies and charge radii. We conclude that the difference in charge radii between a mirror pair, R_mir, is an inferior isovector indicator compared to other observables, such at the neutron skin or electric dipole polarizability. In particular, this quantity correlates poorly with both the neutron skin and L. We demonstrate that R_mir is influenced by pairing correlations in the presence of low-lying proton continuum in the proton-rich mirror-partner nucleus. Considering the large theoretical uncertainties on R_mir, we conclude that the precise data on mirror charge radii cannot provide a stringent constraint on L.

arXiv comment6 pages, 4 figures

References in corpus (39)

• Masses, Radii, and Equation of State of Neutron Stars
• Equations of state for supernovae and compact stars
• Neutron Star Structure and the Neutron Radius of 208Pb
• Skyrme Interaction and Nuclear Matter Constraints
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Nuclear symmetry energy probed by neutron skin thickness of nuclei
• Neutron Radii in Mean-Field Models
• Neutron skin of 208Pb, nuclear symmetry energy, and the parity radius experiment
• The information content of a new observable: the case of the nuclear neutron skin
• Error Estimates of Theoretical Models: a Guide
• Electric dipole polarizability and the neutron skin
• Nuclear Equation of State from ground and collective excited state properties of nuclei
• Microscopic justification of the Equal Filling approximation
• Astrophysical Constraints on the Symmetry Energy and the Neutron Skin of ${}^{208}$Pb with Minimal Modeling Assumptions
• Searching for isovector signatures in the neutron-rich oxygen and calcium isotopes
• Odd-even mass differences from self-consistent mean-field theory
• Quantifying uncertainties and correlations in the nuclear-matter equation of state
• Constraints on the Skyrme Equations of State from Properties of Doubly Magic Nuclei
• Information content of the parity-violating asymmetry in ${}^{208}$Pb
• Towards the global description of nuclear charge radii: exploring the Fayans energy density functional
• Bayesian modeling of the nuclear equation of state for neutron star tidal deformabilities and GW170817
• Nuclear charge densities in spherical and deformed nuclei: towards precise calculations of charge radii
• Charge Radius of Neutron-deficient ${}^{54}$Ni and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii
• Accurate calibration of relativistic mean-field models: correlating observables and providing meaningful theoretical uncertainties
• Central depression in nucleonic densities: Trend analysis in nuclear density-functional-theory approach
• Beyond the charge radius: the information content of the fourth radial moment
• Systematics of collective correlation energies from self-consistent mean-field calculations
• Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles
• Difference in proton radii of mirror nuclei as a possible surrogate for the neutron skin
• Symmetry energy in nuclear density functional theory
• Nuclear charge and neutron radii and nuclear matter: trend analysis
• Statistical aspects of nuclear mass models
• Shape changes in the mirror nuclei ${}^{70}$Kr and ${}^{70}$Se
• An HFB scheme in natural orbitals
• Error estimates for the Skyrme-Hartree-Fock model
• Canonical-basis solution of the Hartree-Fock-Bogoliubov equation on three-dimensional Cartesian mesh
• Proton and neutron skins and symmetry energy of mirror nuclei
• Estimating the relevance of predictions from nuclear mean-field models
• Nuclear density-functional theory and fission of super-heavy elements

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