Mirror nuclei constraint in mass formula

TL;DR

This paper improves a nuclear mass formula by incorporating mirror nuclei constraints, significantly reducing deviations from measured masses and providing insights into super-heavy nuclei properties.

Contribution

The study introduces a mirror nuclei constraint into the mass formula, enhancing accuracy and offering new predictions for super-heavy nuclei characteristics.

Findings

RMS deviation for nuclear masses reduced to 0.441 MeV

RMS deviation for alpha-decay energies of super-heavy nuclei reduced to 0.263 MeV

Predicted super-heavy island around N=176-178 and Z=116-120

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 alpha-decay energies of 46 super-heavy nuclei is reduced to 0.263 MeV. The central position of the super-heavy island could lie around N=176~178 and Z=116~120 according to the shell corrections of nuclei.