Discussion of Spin Assignment of the Signature Partner Bands in Odd-A Superdeformed Nuclei in A≈190 Region

Abstract：

The spin assignments of the signature partner bands in odd-A superdeformed nuclei in A≈190 region are discussed and the results are gived. To consider the decoupling effect in strong coupling limit of the particle-rotator model, in addition to using the ordinary I(I +1)expression to fit the experimental data of the energies of γ-transition in a single band, the double-bands method of analysis is used to fit the data in signature partner bands simultaneously. In the work, the convergence process of the series expansions is put stress upon, whereas taking how many terms exactly in the expression does not emphasized. Moreover, as well as the method fitting the physical quantity, by use of these series expansions the moments of inertia of the band heads are also calculated and the systematics is used for the spin assignments. In spite of the double-bands fitting method is more reasonable in physics, the practical calculation manifests that the single fitting method is equally effective and even more effective than the double-bands fitting method. It shows that the decoupling effect is small and the strong coupling limit is a good approximation in the A≈190 odd-A nuclei region.