Reflection-asymmetric rotor model of oddA∼219–229 nuclei

The low-energy spectroscopy of odd-A nuclei in the mass region A∼219–229 is modeled by coupling states of a deformed shell model including octupole deformation to a reflection-asymmetric rotor core. Theory and experiment are compared for the nuclei in which data are available: ${}_{}{}^{219}{}_{}{}^{}$,221,223,225Rn, ${}_{}{}^{221}{}_{}{}^{}$,223,225,227Fr, ${}_{}{}^{219,221,223,225,227}{}_{}{}^{}\mathrm{Ra}$, ${}_{}{}^{219,223,225,227,229}{}_{}{}^{}\mathrm{Ac}$ ${}_{}{}^{221,223,225,227,229}{}_{}{}^{}\mathrm{Th}$, and ${}_{}{}^{229}{}_{}{}^{}\mathrm{Pa}$. Overall agreement requires an octupole deformation ${\beta }_3$∼0.1. The results throughout the region are synthesized to evaluate the model.