(p, d) Nuclear Structure Studies on Nuclei betweenA=12andA=48

The 40-MeV proton beam from the University of Minnesota Linear Accelerator has been used to study a number of medium-mass nuclei via the single-neutron pickup reaction. Elements studied were ${\mathrm{C}}^{12}$, ${\mathrm{O}}^{16}$, ${\mathrm{Mg}}^{24,25,26}$, ${\mathrm{S}}^{32,34}$, ${\mathrm{Ca}}^{40}$, and ${\mathrm{Ti}}^{48}$. Deuteron energy spectra were taken over a range generally corresponding to 5 or 10 MeV of excitation of the final nucleus. Angular distributions were taken over a range from 6° to 60° for most of the well-defined deuteron groups. Reduced widths were extracted using the Butler theory. The $d_{\frac{3}{2}}-s_{\frac{1}{2}}$ and $d_{\frac{3}{2}}-d_{\frac{5}{2}}$ hole-energy differences in ${\mathrm{Ca}}^{39}$ were found to be 2.6±0.15 and 6.3±0.15 MeV, respectively. The $p_{\frac{1}{2}}-p_{\frac{3}{2}}$ difference in ${\mathrm{O}}^{15}$ was measured to be 6.4±0.15 MeV.