A further look at prolate dominance in nuclear deformation

Abstract

The observed almost complete dominance of prolate over oblate deformations in the ground states of deformed even-even nuclei is related to the splitting of high $\ell$ "surface" orbits in the Nilsson diagram: on the oblate side the occurrence of numerous strongly avoided crossings which reduce the fanning out of the low $\Lambda$ orbits, while on the prolate side the same interactions increase the fanning out. It is further demonstrated that the prolate dominance is rather special for the restricted particle number of available nuclei and is not generic for finite systems with mean-field potentials resembling those in atomic nuclei.

17 pages and 15 figures. Submitted to Phy. Rev. C

Cited by in corpus (12)

• Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model
• Structural evolution in Pt isotopes with the Interacting Boson Model Hamiltonian derived from the Gogny Energy Density Functional
• Neutron shell structure and deformation in neutron-drip-line nuclei
• The proxy-SU(3) symmetry in atomic nuclei
• The shape of gold
• Large enhancement of total reaction cross sections at the edge of the island of inversion in Ti, Cr, and Fe isotopes
• Role of quadrupole deformation and continuum effects in the "island of inversion'' nuclei ${}^{28,29,31}$F
• Oblate deformation of light neutron-rich even-even nuclei
• Shape and shell-structure of lighter (N<90) neutron-rich nuclei based on phenomenological Woods-Saxon potential
• Investigation of octupole collectivity near the $A=72$ shape-transitional point
• Microscopic study of low-lying energy levels and electromagnetic properties in even-even ${}^{168-178}$Yb nuclei
• Investigation of ground state properties and shape evolution in Hf isotopes using the CDFT approach