content_image/369321.jpg
<img src='content_image/369321.jpg'>

shows the contour plot of the calculated shell correction energies of heavy nuclei. The black squares in sub-figure (a) denote the nuclei with microscopic energies of − (6 ∼ 7) MeV in the FRDM calculations. One can see that both of models give similar magic numbers for heavy nuclei. Fig.6.(b) shows the shell corrections of nuclei in the super-heavy region. The crosses denote the calculated nearly spherical nuclei ( | β$_{2}$ | ≤ 0 . 01) with WS. The predicted super-heavy island according to the obtained shell corrections of nuclei looks flat. Along nuclei with Z = 114 or N = 178, one can see a slightly deeper valley in the contour plot of shell corrections. The calculated deformations of nuclei demonstrate that the nuclei with N = 184 are (nearly) spherical in shape. However, the maximum shell correction occurs at N = 178 instead of N = 184, which is consistent with the results in [30, 31]. The analysis about the shift of the shell correction from N = 184 to N = 178 is given in Ref. [30]. According to the calculations, the super-heavy nuclei 288 , $^{289}$114 produced in the ”hot” fusion reaction $^{48}$Ca+$^{244}$Pu [32] (the corresponding compound nucleus is $^{292}$114) are close to this 

