The low lying structure of deformed nuclei has long been actively investigated. One particular issue has been how to distinguish axial $\gamma$ rigidity from $\gamma$ softness in axially asymmetric nuclei. In this study, we discuss a new signature based solely on low spin ground and $\gamma$-band energies as a function of spin in deformed nuclei that illuminates some of these questions and apply it to the well-deformed Gd through W isotopes and the transitional, axially asymmetric, Os and Pt nuclei. The simplicity of the new approach suggests that it may have a wide range of use.

• Received 11 September 2020
• Accepted 20 October 2020

DOI:https://doi.org/10.1103/PhysRevC.102.054310