Phenomenological Analysis and Microscopic Structure of "Identical" Superdeformed Bands

Abstract

A reliable phenomenological analysis of superdeformed(SD)bands shows that the so-called identical SD bands in general may have different bandhead moments of inertia ( δJ o/ J o≥10-2). Because the dynamic moment of inertia J varies with ω much faster than the kinematic moment of inertia J, and the ω variation of moments of inertia may be quite different for various SD bands, under certain conditions a near equality of J (hence E_γ) of two identical SD bands may occur in certain frequency range (| δEγ / Eγ |=| δJ / J |～10-3), and the angular momentum alignments may appear to be approximately quantized. But the situation turns out to be different in other frequency regions. The present phenomenological analysis seems to be consistent with the configuration assignments made by the available microscopic theory in the framework of strong-coupling model. No pseudospin symmetry is involved in the present analysis.