Abstract
The structure of superdeformed (SD) nuclei is discussed, and some open questions are raised. Octupole vibrations built on SD and hyperdeformed (HD) shapes are described in an analytically solvable model, and structure effects on low-lying vibrational states, as well as the deformation splitting of the giant resonance states are discussed. From cranked Nilsson-Strutinsky calculations it is predicted that HD nuclei in the 152Dy region have a strong, static octupole deformation, and the structure of such nuclei is discussed. The nucleus 146Gd is found to be a particularly favoured candidate for a hyperdeformed pearshape.
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