The collective spectra of the well-deformed nuclei with small axial asymmetry and the nuclei with large axial asymmetry are investigated separately in the frame of the Bohr Hamiltonian. The collective spectra of well-deformed nuclei manifest the vibrational-rotational band structure and each of these bands can be expressed as a 2-parameter closed expression. The agreement between the calculated results and the observed data is very good. From this expression the radius of convergence for the energy expansion in terms of can be estimated and the empirical fact that the expansion in powers of rotational frequency converges much more rapidly than that in powers of can be understood. Similarly, the ground state quasi-band of the nuclei with large axial asymmetry can be expressed as a 3-parameter closed expression.
A new method for spin assignment of superdeformed rotational bands
is proposed and it turns out to be more efficient than other
methods used before. The application is made to superdeformed
bands in A∼190 and A∼150 mass regions. By analyzing
the standard deviation of the fixed γ-ray energies of an SD
band in different methods, the advantage of the present method
over the other methods is presented. This method brings then a
comprehensive interpretation of the methods used in spin assignment.
Some serious difficulties encountered in the usual Cranking Shell Model may be overcome in the Particle-Number-Conserving treatment for the cranking Hamiltonian. The variation of the K-structure of low-lying bands with the rotational frequency is investigated.
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