Distorted-Wave Born-Approximation Analysis of the (d,He3) Reaction on "Closed Shell" Nuclei
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Abstract
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\ifmmode\cdot\else\textperiodcentered\fi{}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 $l=2$ hole strength is seen. Results of $^{40}\mathrm{Ca}(d, t)^{39}\mathrm{Ca}$ reactions are also presented.
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