Revisiting the island of hexadecapole-deformation nuclei in $A \approx 150$ mass region: Focusing on the model application on nuclear shapes and masses

Abstract

Based on the potential-energy-surface calculation, the impact of different deformation degrees of freedom on single-particle structure and binding energies in nuclei around $^{152}$Nd, located on one of the hexadecapole-deformation islands, is analyzed in a multi-dimensional deformation space. Various energy maps, curves and tables are presented to indicate nuclear properties. The calculated equilibrium deformations and binding energies with different potential parameters are compared with experimental data and other theories. It is found that the inclusion of the hexadecapole deformations, especially the axial one, can improve the theoretical description of both nuclear shapes and masses. In addition, our calculated potential-energy-curve shows that there exists a critical deformation-point $\beta_2 \approx 0.4$ -- the triaxial (hexadecapole) deformation-effect can be neglectable but the hexadecapole (triaxial) one plays an important role before (after) such critical point.