Theory of band comparison in even-even nuclei

We previously found that a cluster model reproduces satisfactorily the properties of normal deformed (ND) ground state and superdeformed (SD) excited bands in a wide range of even-even nuclei. We show here that the fractional change of the transition energies in two bands described by similar core-cluster configurations is closely related to the fractional change in the corresponding reduced masses. We compare our predictions to data on ground state ND bands for a series of light rare-earth and actinide isotopes, and on SD bands in the A∼150 and 190 regions. The model strongly suggests the existence of similar excited SD bands in ²¹²Pb and ²¹²Po, in addition to the observed α-cluster-like ND ground state bands of these nuclei.