Robust correlation between binding energies and charge radii of mirror nuclei

Using the charge density from the two-parameter Fermi model, a robust and nontrivial correlation between binding energies and charge radii of mirror nuclei is newly proposed. This correlation enables simple yet reliable predictions of the nuclear masses and charge radii of proton-rich nuclei. The validity of these predictions is demonstrated by comparing the predicted binding energies and charge radii with experimental data and predictions from other models. All 197 predicted binding energies and 199 charge radii involved in the comparisons are tabulated in the Supplemental Materials of this paper. The noticeable discrepancies are attributed to the off-systematical asymmetry in charge radii of mirror nuclei. Those off-systematical behaviors may correspond to some local structural anomaly, which the proposed correlation may serve as a sensitive probe for. The difference in mass dependence of charge radii near the proton drip-line compared to those along the [Formula: see text]-stability line supports the validity of our prediction method.