Spectroscopy of ${\mathrm{V}}^{50}$ with Direct ($d,t$) and ($d,\alpha$) Reactions

About 50 levels of ${\mathrm{V}}^{50}$ below 3.2 MeV have been studied with 9- to 15-keV resolution via the ${\mathrm{V}}^{51}\mathrm{}(d,t)\mathrm{}{\mathrm{V}}^{50}$, ${\mathrm{Cr}}^{52}(d,\alpha ){\mathrm{V}}^{50}$, and ${\mathrm{Ti}}^{48}({\mathrm{He}}^3,p){\mathrm{V}}^{50}$ reactions. Angular distributions were taken (at 16 MeV) for the ${\mathrm{V}}^{51}\mathrm{}(d,t)\mathrm{}$ reactions and (at 17 MeV) for ${\mathrm{Cr}}^{52}(d,\alpha ){\mathrm{V}}^{50}$. ($d,t$) and ($d,\alpha$) $l$ values were extracted by comparison with distorted-wave Born-approximation calculations. For most of the levels seen, direct-reaction selection rules lead to narrow limits for the final-state spins, and in a few cases to unique $J^{\pi }$ assignments. The spectroscopic information for the lowest levels was compared with shell-model predictions, and qualitative agreement was found. The lowest negative-parity states seen were above 2 MeV. Little $2p$ strength was found in the pickup experiments, and strong suppression of ($d,\alpha$) transitions to $J^{\pi }={\left(\mathrm{even}\right)}^{+}$ states suggests that the low-lying states of ${\mathrm{V}}^{50}$ are predominantly of ${\left(f_{\frac{7}{2}}\right)}^n$ configuration. However, a comparison with the ($d,\alpha$) spectrum for the particle-hole conjugate nucleus ${\mathrm{Sc}}^{46}$ shows that these nuclei are more dissimilar than a simple ${\left(f_{\frac{7}{2}}\right)}^n$ model would suggest.