N15(p, t)N13andN15(p, He3)C13Reactions and the Spectroscopy of Levels in Mass 13

A 43.7-MeV proton beam has been used to induce ($p, t$) and ($p$,${}_{}{}^3{}_{}{}^{}\mathrm{He}$) reactions on a ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$ target. Transitions to mirror final states of ${}_{}{}^{13}{}_{}{}^{}\mathrm{N}$ and ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ have been investigated over 15 MeV of excitation and several new spin and parity assignments have been made. The distorted-wave Born-approximation (DWBA) predictions of angular distributions for these ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}(p, t){}_{}{}^{13}{}_{}{}^{}\mathrm{N}$ and ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}(p, {}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ reactions, using intermediate-coupling wave functions to obtain the two-nucleon structure factors, were generally found to reproduce experiment well; in addition, calculated cross sections for the ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}(p, t){}_{}{}^{13}{}_{}{}^{}\mathrm{N}$ reaction were in good agreement with the experimental values.