Polarized-proton-induced exclusive pion production inC12at 200, 216, 225, 237, and 250 MeV incident energies

The angular distributions of the differential cross sections and analyzing powers are presented for the ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}(\mathrm{p},{\pi }^{+}){}_{}{}^{13}{}_{}{}^{}\mathrm{C}_{}^{*}{}_{}{}^{}$ reaction leading to the ground state of ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ as well as some of the ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}_{}^{*}{}_{}{}^{}$ low-lying excited states. The analyzing powers for some of the transitions exhibit a considerable energy dependence while for other transitions they remain relatively unchanged, thus indicating a dynamic sensitivity of the analyzing power dependent on nuclear structure. Comparisons of theoretical predictions for $A_{N0\mathrm{}}$ and $\frac{d\sigma }{d\Omega }$, based on microscopic two-nucleon models, with our results indicate that substantial differences between theory and experiment still exist for $A(\mathrm{p},{\pi }^{+})A+1\mathrm{}$ type of reactions.