N15(d→,t)14N at 89 MeV,jdependence andp-shell matrix elements

Differential cross sections and analyzing powers for ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$(d→,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.