The reaction ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}({}_{}{}^6{}_{}{}^{}\mathrm{Li},\alpha ){}_{}{}^{15}{}_{}{}^{}\mathrm{N}$ has been measured at $E\left({}_{}{}^6{}_{}{}^{}\mathrm{Li}\right)=32\mathrm{}$ MeV in the lab angular range from 7.5° to 170° in 2.5° steps. Angular distributions were extracted for states up to 13.02 MeV in excitation. All states showed back-angle enhancements. A Hauser-Feshbach analysis could only explain the back-angle enhancement for the state at 7.57 MeV. For the remaining states, zero-range distorted-wave Bron-approximation calculations with simple wave functions reproduced the trends and magnitudes of the data but were out of phase with the data by 5°. Comparisons of the shape of the angular distributions to the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}({}_{}{}^6{}_{}{}^{}\mathrm{Li},\alpha ){}_{}{}^{18}{}_{}{}^{}\mathrm{F}$ data indicated that the states at 9.152, 9.83, and 13.02 MeV are two particle-three hole and that the 9.83 MeV state has negative parity.

NUCLEAR REACTIONS ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}({}_{}{}^6{}_{}{}^{}\mathrm{Li},\alpha )$, $E=32.0\mathrm{}$ MeV; measured $\sigma \left(\theta \right)$, $\theta =7.5\mathrm{}°-170°$ lab, $\Delta \theta =2.5\mathrm{}°$; compared data to previous measured (${}_{}{}^6{}_{}{}^{}\mathrm{Li},\alpha$) data and to zero-range DWBA and Hauser-Feshbach calculations.

• Received 21 January 1977

DOI:https://doi.org/10.1103/PhysRevC.16.1040