Improved Kelson-Garvey mass relations for proton-rich nuclei

TL;DR

The paper introduces an improved Kelson-Garvey mass relation method that accurately predicts proton-rich nuclear masses, outperforming previous models, and explores implications for nuclear stability and proton emission.

Contribution

The paper develops an enhanced mass relation model based on mirror nuclei differences, significantly improving the accuracy of predicting unknown proton-rich nuclear masses.

Findings

Root-mean-square deviation of 0.398 MeV for known nuclei

Predicted masses for 144 unknown proton-rich nuclei

Analysis of separation energies and diproton emission

Abstract

The improved Kelson-Garvey (ImKG) mass relations are proposed from the mass differences of mirror nuclei. The masses of 31 measured proton-rich nuclei with $7\leq A\leq41$ and $-5\leq (N-Z)\leq-3$ can be remarkably well reproduced by using the proposed relations, with a root-mean-square deviation of 0.398 MeV, which is much smaller than the results of Kelson-Garvey (0.502 MeV) and Isobar-Mirror mass relations (0.647 MeV). This is because many more masses of participating nuclei are involved in the ImKG mass relations for predicting the masses of unknown proton-rich nuclei. The masses for 144 unknown proton-rich nuclei with $6\leq A\leq74$ are predicted by using the ImKG mass relations. The one- and two-proton separation energies for these proton-rich nuclei and the diproton emission are investigated simultaneously.