Distorted-Wave Born-Approximation Analysis of the (d,He3) Reaction on "Closed Shell" Nuclei

Angular distributions for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}(d, {}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{15}{}_{}{}^{}\mathrm{N}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}(d, {}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{39}{}_{}{}^{}\mathrm{K}$ reactions were measured at an energy of 34.4 MeV. The applicability of the distorted-wave theory to these reactions and the ability to extract reliable spectroscopic factors was investigated. Calculations using the local zero-range, nonlocal, and finite-range formulations are compared with the data. The roles of L·S coupling, deuteron optical-model parameters, and radial cutoffs on the predicted shape and magnitude are presented. The local zero-range and finite-range forms of the theory give comparable spectroscopic factors, while the nonlocal calculations are consistently low. Deviations from the closed-shell description of the ground states of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ are observed. Substantially all the $1p$ hole strength in ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ is found, and in ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ some deeper $l=2\mathrm{}$ hole strength is seen. Results of ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}(d, t){}_{}{}^{39}{}_{}{}^{}\mathrm{Ca}$ reactions are also presented.