Nuclear prolate-shape dominance with the Woods-Saxon potential

Abstract

We study the prolate-shape predominance of the nuclear ground-state deformation by calculating the masses of more than two thousand even-even nuclei using the Strutinsky method, modified by Kruppa, and improved by us. The influences of the surface thickness of the single-particle potentials, the strength of the spin-orbit potential, and the pairing correlations are investigated by varying the parameters of the Woods-Saxon potential and the pairing interaction. The strong interference between the effects of the surface thickness and the spin-orbit potential is confirmed to persist for six sets of the Woods-Saxon potential parameters. The observed behavior of the ratios of prolate, oblate, and spherical nuclei versus potential parameters are rather different in different mass regions. It is also found that the ratio of spherical nuclei increases for weakly bound unstable nuclei. Differences of the results from the calculations with the Nilsson potential are described in detail.

16 pages, 17 figures

References in corpus (6)

• Microscopic-Macroscopic Approach for Binding Energies with Wigner-Kirkwood Method
• A further look at prolate dominance in nuclear deformation
• Microscopic calculation of the wobbling excitations by using the Woods-Saxon potential as a nuclear mean-field
• Improved microscopic-macroscopic approach incorporating the effects of continuum states
• Periodic-orbit approach to the nuclear shell structures with power-law potential models: Bridge orbits and prolate-oblate asymmetry
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Cited by in corpus (7)

• Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model
• The proxy-SU(3) symmetry in atomic nuclei
• Global calculations on the microscopic energies and nuclear deformations: Isospin dependence of the spin-orbit coupling
• Nuclear shell structures in terms of classical periodic orbits
• Shells, orbit bifurcations and symmetry restorations in Fermi systems
• Semiclassical origin of nuclear ground-state octupole deformations
• Quantum Gravity Corrections to the Mean Field Theory of Nucleons