Mirror nuclei constraint in nuclear mass formula

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 α-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. © 2010 The American Physical Society.