Reflection-asymmetric rotor model of odd<i>A∼</i>219<i>–</i>229 nuclei

The low-energy spectroscopy of odd-A nuclei in the mass region A\ensuremath{\sim}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 ${\ensuremath{\beta}}_{3}$\ensuremath{\sim}0.1. The results throughout the region are synthesized to evaluate the model.

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