(d,He3) Reaction onTi46andTi48

The ($d,{\mathrm{He}}^3$) reaction on ${\mathrm{Ti}}^{46}$ and ${\mathrm{Ti}}^{48}$ was studied at 19.5 MeV using a magnetic spectrometer. Results were analyzed in terms of distorted-wave Born-approximation theory from which transferred $l$ values and spectroscopic factors were obtained. Transitions with $l=1\mathrm{}$ to the 0.808-MeV state in ${\mathrm{Sc}}^{47}$ and to three states in ${\mathrm{Sc}}^{45}$ were observed, indicating the presence of $2p$ protons in the ground state of Ti. The single-particle strength appears concentrated in one level in ${\mathrm{Sc}}^{47}$, but considerable fragmentation of the strength is seen in ${\mathrm{Sc}}^{45}$. It was found that most of the $d_{\frac{3}{2}}$ strength is carried by the 0.763-MeV state of ${\mathrm{Sc}}^{47}$, and that the spectroscopic factor for the first ${\frac{3}{2}}^{+}$ level in ${\mathrm{Sc}}^{45}$, at 12 keV, is 2.8, or 70% of the sum-rule limit. Three more states with $l=2\mathrm{}$ were found in ${\mathrm{Sc}}^{45}$, one of them known to have $J^{\pi }={\frac{5}{2}}^{+}$. Assuming that the other two (1.304 and 1.799 MeV) levels have $J^{\pi }={\frac{3}{2}}^{+}$, the sum of the spectroscopic factors for them is 1.07, or about 25% of the sum-rule limit.