Abstract

The odd-odd fp-shell nucleus $^{52}\mathrm{Sc}$ was investigated using in-beam \ensuremath{\gamma}-ray spectroscopy following secondary fragmentation of a $^{55}\mathrm{V}$ and $^{57}\mathrm{Cr}$ cocktail beam. Aside from the known \ensuremath{\gamma}-ray transition at 674(5) keV, a new decay at ${E}_{\ensuremath{\gamma}}=212(3)$ keV was observed. It is attributed to the depopulation of a low-lying excited level. This new state is discussed in the framework of shell-model calculations with the GXPF1, GXPF1A, and KB3G effective interactions. These calculations are found to be fairly robust for the low-lying level scheme of $^{52}\mathrm{Sc}$ irrespective of the choice of the effective interaction. In addition, the frequency of spin values predicted by the shell model is successfully modeled by a spin distribution formulated in a statistical approach with an empirical, energy-independent spin-cutoff parameter.

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