Investigation of Configurations in ${\mathrm{Sc}}^{46}$ by the Direct ${\mathrm{Ti}}^{48}(d,\alpha ){\mathrm{Sc}}^{46}$ Reaction

The angular distributions from the ${\mathrm{Ti}}^{48}(d,\alpha ){\mathrm{Sc}}^{46}$ reaction have been measured at a deuteron beam energy of 17 MeV. The $\alpha$ particles were analyzed primarily by position-sensitive counters mounted in an Enge splitpole spectrograph with a typical experimental resolution of 15 keV full width at half-maximum for 20-MeV $\alpha$ particles. Distorted-wave Born-approximation calculations utilizing a microscopic form factor and including finite-range and nonlocal corrections produced reliable deuteron $l$-transfer distribution shapes. The experimental distributions indicate many unambiguous $l$ transfers which determine parity and restrict possible $J$ values for final states in ${\mathrm{Sc}}^{46}$. The relative strengths of the cross sections are subject to configuration effects through the $2s$, $1d$, $1f$, and $2p$ nucleons which form the deuteron in the pickup process. In particular, states excited by ${\left(f_{\frac{7}{2}}\right)}^2$, ($d_{\frac{3}{2}}{f}_{\frac{7}{2}}$), and possibly $s_{\frac{1}{2}}{f}_{\frac{7}{2}}$ and ${\left(d_{\frac{3}{2}}\right)}^2$ pickup were identified. Of special interest is the population of the low-lying $6^{+}$ state in ${\mathrm{Sc}}^{46}$, which can be quantitatively understood in terms of a ≅1% occupation probability for nucleons in the $1f_{\frac{5}{2}}$ shell of ${\mathrm{Ti}}^{48}$.