Study of ReactionsB10(p, d)B9andB11(p, d)B10

Excited states of ${}_{}{}^9{}_{}{}^{}\mathrm{B}$ and ${}_{}{}^{10}{}_{}{}^{}\mathrm{B}$ were studied by means of the ($p, d$) reaction, using 33.6-MeV incident protons. Deuteron groups were observed corresponding to strongly excited levels in ${}_{}{}^9{}_{}{}^{}\mathrm{B}$ at 0.0-, 2.35-, 7.1-, and 11.75-MeV excitation and in ${}_{}{}^{10}{}_{}{}^{}\mathrm{B}$ at 0.0-, 0.72-, 1.76-, 2.15-, 3.57-, 4.75-, 5.10-, and 6.04-MeV excitation. Small deuteron yields were observed corresponding to excited states in ${}_{}{}^9{}_{}{}^{}\mathrm{B}$ at 2.8- and 14.6-MeV excitation and ${}_{}{}^{10}{}_{}{}^{}\mathrm{B}$ at 6.57- and 7.5-MeV excitation. The angular distribution for the elastic scattering of 33.6-MeV protons from ${}_{}{}^{10}{}_{}{}^{}\mathrm{B}$ was measured and fitted with an optical-model calculation to provide parameters for a distorted-wave Born-approximation (DWBA) analysis of the ($p, d$) data. Angular distributions were taken for all the levels strongly excited in the ($p, d$) reaction, and the results compared to a DWBA calculation. Spectroscopic factors were extracted and compared with theoretical intermediate-coupling calculations in the $1p$ shell and with other ($p, d$) and ($d, t$) results. Spin assignments were made for the levels of ${}_{}{}^9{}_{}{}^{}\mathrm{B}$ strongly excited in the ($p, d$) reaction. Difficulties in matching the shapes of the experimental angular distributions to DWBA calculations for pickup and stripping reactions involving light nuclei are discussed.