New results on the excited states in $^{32}$Mg

$^{32}$Mg is located at the center of a region known as the ``island of inversion,'' a region in which the classic picture of stable shell structure was shattered when the energy of the 2$^{+}$ state in $^{32}$Mg was found to be only 885 keV, much lower than expected for a nucleus with a closed neutron shell. The collapse of the $N=20$ shell closure has been extensively studied, yet very little information exists on the excited states in $^{32}$Mg, which is the critical nucleus. We have studied the levels in $^{32}$Mg populated from the beta-decay of $^{32}$Na at the ISOLDE facility at CERN. We have established a new level scheme which includes 9 excited states and 18 transitions based on the gamma-gamma coincidences. The statistics exceeded by about 2 orders of magnitude statistics collected in previous measurements of $^{32}$Mg [1]. We do not confirm two levels previously proposed, while two new levels and five new transitions are included in the level scheme. [1] G. Klotz \textit{et al}., Phys. Rev. C\textbf{47, }2502 (1993), C.M. Mattoon \textit{et al}., Phys. Rev. C\textbf{75,} 017302 (2007), and V. Tripathi \textit{et al}., Phys. Rev C\textbf{77,} 034310 (2008).