Microscopic description of E2 and E3 giant resonances in deformed and superdeformed nuclei.

Abstract

The vibrating potential model, which represents a self-consistent version of the random-phase approximation (RPA) with a separable residual interaction, is generalized to the description of E\ensuremath{\lambda} collective excitations in nuclei with any even-multipole static deformation. The model is used to study the isoscalar E2 and E3 giant resonances in deformed and superdeformed $^{154}\mathrm{Sm}$ and $^{152}\mathrm{Dy}$. The importance of the nuclear self-consistency is shown. The model provides a satisfactory description of the isoscalar E2 and E3 giant resonances in deformed $^{154}\mathrm{Sm}$, predicting a considerable washing out of these resonances, especially the octupole one, in superdeformed $^{152}\mathrm{Dy}$. The latter result means that the experimental observation of the isoscalar giant resonance in superdeformed nuclei can encounter serious troubles. \textcopyright{} 1996 The American Physical Society.