Abstract
In this paper we study mass relations of mirror nuclei, with our focus on local correlations of deviations between theoretical nuclear masses and experimental data. With inclusion of such local correlations, we are able to construct very accurate mass formulas of mirror nuclei. The root-mean-square deviation (RMSD) of our formulas is $\ensuremath{\sim}69$ keV for nuclei with $10\ensuremath{\le}Z\ensuremath{\le}38$ and $Z>N+1$ in the AME2016 database, and, furthermore, the RMSD value becomes only 51 keV if one excludes three experimental data for which experimental uncertainties are larger than 150 keV. More than 240 proton-rich nuclear masses with mass number $A$ below 80 are predicted within the theoretical accuracy of 300 keV and are tabulated in the Supplemental Material of this paper. As a simple application, our predicted results are adopted to predict candidates with two-proton radioactivity.
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