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

Reinhard PG, Nazarewicz W (2022)


Publication Type: Journal article

Publication year: 2022

Journal

Book Volume: 105

Article Number: L021301

Journal Issue: 2

DOI: 10.1103/PhysRevC.105.L021301

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, ΔRchmir, is an inferior isovector indicator compared to other observables, such at the neutron skin or electric dipole polarizability αD. In particular, this quantity correlates poorly with both the neutron skin and L. We demonstrate that ΔRchmir 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 ΔRchmir, we conclude that the precise data on mirror charge radii cannot provide a stringent constraint on L.

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APA:

Reinhard, P.-G., & Nazarewicz, W. (2022). Information content of the differences in the charge radii of mirror nuclei. Physical Review C - Nuclear Physics, 105(2). https://doi.org/10.1103/PhysRevC.105.L021301

MLA:

Reinhard, Paul-Gerhard, and Witold Nazarewicz. "Information content of the differences in the charge radii of mirror nuclei." Physical Review C - Nuclear Physics 105.2 (2022).

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