Abstract
The dominance of prolate over oblate deformations in the ground states of deformed even-even nuclei has long been known empirically. Although various theoretical approaches have been applied, the underlying mechanism is not yet considered as being adequately understood. One of those theoretical approaches has found an interesting interference effect between the spin-orbit coupling and the surface diffuseness in the single-particle potential. Recently the proxy-SU(3) model claimed that the prolate dominance would emerge naturally from the SU(3) symmetry assuming the highest-weight irreducible representations as ground-state configurations. This article presents a possible interpretation of the interference effect in the former approach in the context of the latter approach, more specifically invoking the dual-shell mechanism that includes both the three-dimensional harmonic-oscillator shells and the spin-orbit-like shells.
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