It is found that the incremental alignments of superdeformed (SD) bands in nuclei in the $A\sim 150$ region exhibit a simple rule of additivity. This additivity is found to hold with good accuracy even for nuclei that differ by a large number of particles. The effect of neutron and/or proton band crossings and pairing correlations on this additivity are discussed. The additivity property of incremental alignments can be used to predict the energies of transitions in previously unknown SD bands and recent experimental results on SD bands in ${}^{147}\mathrm{Eu}$ are found to be in excellent agreement with the predicted values.

• Received 28 January 1999

DOI:https://doi.org/10.1103/PhysRevC.60.044313