Strongly Coupled Rotational Band in $^{33}$Mg

The "Island of Inversion" at $N\sim$ 20 for the neon, sodium, and magnesium isotopes has long been an area of interest both experimentally and theoretically due to the subtle competition between 0p-0h and $n$p-$n$h configurations leading to deformed shapes. However, the presence of rotational band structures, which are fingerprints of deformed shapes, have only recently been observed in this region. A measurement of the low-lying level structure of $^{33}$Mg populated by a two-stage projectile fragmentation reaction and studied with GRETINA was performed at the NSCL. The newly identified rotational band level energies and $\gamma$-ray intensities, as well as other available experimental data on the ground state magnetic moment and intrinsic quadrupole moment show good agreement with the strong-coupling limit of a rotational model. We present here the analysis and interpretation of the available experimental observables for $^{33}$Mg within a rotational framework.