Mass relations of mirror nuclei for both bound and unbound systems

Abstract

In this paper we study nuclear masses of proton-rich systems close to (both inside and outside) the proton drip line, in terms of mass relations for mirror nuclei. We show that mass relations of mirror nuclei are remarkably accurate for all nuclei (including very light nuclei) within the proton drip line, with root-mean-square deviations (RMSD) between 70--147 keV. A very simple formula is proposed to extend the mass relations to systems beyond the proton drip line, with the RMSD value of 183 keV (or 164 keV if the $^{11}\mathrm{O}\ensuremath{-}^{11}\mathrm{Li}$ mirror partners are excluded). Based on these mass relations, we predict 162 mass excesses of proton-rich systems (136 systems outside and 26 systems inside the proton drip line) close to the proton drip line, and tabulate these results in the Supplemental Material of this paper.