Abstract
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 $A\ensuremath{\sim}150$ and 190 regions. The model strongly suggests the existence of similar excited SD bands in ${}^{212}\mathrm{Pb}$ and ${}^{212}\mathrm{Po},$ in addition to the observed \ensuremath{\alpha}-cluster-like ND ground state bands of these nuclei.
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