Abstract
The macroscopic-microscopic mass formula is further improved by considering mirror nuclei constraint. The rms deviation with respect to 2149 measured nuclear masses is reduced to $0.441$ MeV. The shell corrections, the deformations of nuclei, the neutron and proton drip lines, and the shell gaps are also investigated to test the model. The rms deviation of $\ensuremath{\alpha}$-decay energies of 46 superheavy nuclei is reduced to $0.263$ MeV. The predicted central position of the superheavy island could lie around $N=176~178$ and $Z=116~120$ according to the shell corrections of nuclei.
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