15N(d

Abstract

Differential cross sections and analyzing powers for $^{15}\mathrm{N}$(d\ensuremath{\rightarrow},t${)}^{14}$N were measured up to 25 MeV excitation energy with 88 and 89 MeV polarized deuteron beams and magnetic spectrographs. States of $^{14}\mathrm{N}$ up to 18.53 MeV have been studied in two experiments with overall resolutions of 25--70 keV, and j transfers were determined from their characteristic analyzing powers. Mixtures of different j transfers could be determined for those ${1}^{+}$ states where mixing was significant. Exact finite-range distorted-wave Born approximations calculations were used to deduce l transfers and spectroscopic strengths. The observed summed spectroscopic strength is 88% of the shell-model sum rule. Firm lower limits and tentative upper limits for six (${p}_{1/2}$${p}_{1/2}$${)}_{J}$,T and (${p}_{3/2}$${p}_{1/2}$${)}_{J}$,T residual two-nucleon matrix elements are deduced. Comparison with the widely used Cohen-Kurath matrix elements shows good agreement for four terms, but significant quantitative disagreement for the (${p}_{1/2}$${p}_{1/2}$${)}_{0}^{+}$,1 and (${p}_{1/2}$${p}_{3/2}$${)}_{1}^{+}$,1 terms. We also see significantly more than the predicted ${p}_{1/2}$${p}_{3/2}$ mixing for the 3.948 MeV ${1}^{+}$,0 state. No appreciable pickup of s-d shell admixtures was seen up to 25 MeV excitation.