Evidences for magicity in superdeformed shapes
Many empirical evidences that point to the existence of preferred magic nucleon numbers for superdeformed (SD) shapes are presented in this paper. We use a simple premise based on the 4-parameter formula fitted using observed 𝛾-rays of SD bands. In particular, plots of 𝛾-ray energy ratios, nuclear softness parameter values and the number of SD bands for given 𝑁 and 𝑍 are used to pinpoint the magicity (𝑁, 𝑍 numbers) that are most favoured as the SD magic numbers. This analysis also leads to several new predictions on the occurrence of SD bands specially in neutron-rich nuclei.