Spectroscopy of ${}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$ via the ${}_{}{}^{54}{}_{}{}^{}\mathrm{Fe}(d,\alpha ){}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$ Reaction and the ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}(p,n\gamma ){}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$ Coincidence Experiment

The ${}_{}{}^{54}{}_{}{}^{}\mathrm{Fe}(d,\alpha ){}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$ reaction was studied at 17-MeV bombarding energy. Energy assignments based on the ($d,\alpha$) and two (${}_{}{}^3{}_{}{}^{}\mathrm{He}$, $t$) spectra were made for some 60 levels up to about 4 MeV of excitation in ${}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$ with accuracies ranging from ± 1 to ± 10 keV. $(d,\alpha )L$-transfer assignments or suggestions were made for 28 of these levels based on a recent distorted-wave Born-approximation procedure. Spin-parity limits based on the ($d,\alpha$) analysis are generally in agreement with other work although a few discrepancies are noted. The ${}_{}{}^{52}{}_{}{}^{}\mathrm{Cr}(p,n\gamma ){}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$ coincidence experiment was performed at bombarding energies of 8.0, 8.5, 9.0, 9.5, and 10.0 MeV. $30\gamma$ rays were fitted into a decay scheme which includes four previously un-reported levels below 1.3 MeV of excitation in ${}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$. Two of these new levels were weakly excited in ($d,\alpha$), while the other two appeared as an unresolved group in the (${}_{}{}^3{}_{}{}^{}\mathrm{He}$, $t$) spectra. Since the $\gamma$-rays were observed with 3-keV Ge(Li) detector resolution, accurate energy assignments (≤±0.5 keV) could be made for 14 levels in ${}_{}{}^{52}{}_{}{}^{}\mathrm{Mn}$. The $\gamma$-ray data are consistent with the ($d,\alpha$) spin limits. A comparison of the low-lying states with the McCullen, Bayman, and Zamick calculations is presented. The four new levels do not fit into the pure $f_{\frac{7}{2}}$-shell scheme.