Empirical Evidence for an SO(7) Fermion Dynamical Symmetry in Nuclei

Abstract

Empirical evidence for an $\mathrm{SO}(8)\ensuremath{\supset}\mathrm{SO}(7)$ fermion dynamical symmetry in the Pd-Ru region is presented. This symmetry has the remarkable property that it can describe structural variations in a transition region between vibrator and $\ensuremath{\gamma}$-soft asymmetric rotor.