Binding energies of proton-rich nuclei determined from their mirror pairs

Abstract

Abstract Besides the Coulomb displacement energy, the residual differences of binding energies between mirror nuclei (a pair of nuclei with the same mass number plus the interchanged proton and neutron numbers) are contributed to the shell effect via the valence scheme in the present study. To this end, one linear combining type of the valence nucleon number, namely $\alpha N_p+\beta N_n$, is chosen to tackle this shell correction, in which $N_p$ and $N_n$ are separately the valence proton and neutron numbers with respect to the nearest shell closure. The mass differences of mirror nuclei, as the sum of the empirical Coulomb displacement energy and the shell effect correction, are then used to obtain the binding energies of proton-rich nuclei through the available data of their mirror partners, in order to be useful for exploring the proton dripline of nuclear chart.