A systematic study of the extraction of spectroscopic factors for the ($p, d$,) reaction on light nuclei and the difficulties encountered in obtaining reasonable distorted-wave Born approximation (DWBA) fits to the shapes of the angular distributions has been made. Deuteron spectra and angular distributions were measured for the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}(p, d){}_{}{}^{15}{}_{}{}^{}\mathrm{O}$ reaction for 21.27-, 25.52-, 31.82-, 38.63-, and 45.34-MeV incident protons. The elastic scattering of protons from ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ was measured over the same energy range and used to obtain proton optical-model parameters. Present results indicate that consistent spectroscopic information can be obtained from DWBA calculations when the deuterons in the exit channel have an energy greater than 20 MeV. Approximately 30% of the $1p_{\frac{3}{2}}$ strength appears to be missing from the 6.18-MeV, ${\frac{3}{2}}^{-}$ level of ${}_{}{}^{15}{}_{}{}^{}\mathrm{O}$, and a large fraction of that strength appears in the 9.60- and 10.46-MeV levels. Small $2s-1d$ admixtures were observed in the ground state of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, and excitation of a ${\frac{7}{2}}^{+}$ level is observed. This excitation is a possible candidate for a two-step excitation process.

• Received 19 June 1969

DOI:https://doi.org/10.1103/PhysRev.187.1246