Coupled channel calculations were carried out for the inelastic scattering of ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ on ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ using form factors generated in a single folding model. We studied the population probability $P_1$ for ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ in the 1.37 MeV $2^{+}$ level with $\mathrm{}\left|m\right|=1\mathrm{}$ and ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ in its ground state. Using spin-independent potentials the excitation of various states in ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ gave rise to a maximum $P_1\left(6\mathrm{}°\right)$ of 0.2%. This increased to 0.3% when spin-dependence was allowed for in an approximate manner. At 10° the calculations fell significantly short of the experimental data. Large polarizations were found when excited states of ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ were populated; these effects are discussed.

NUCLEAR REACTIONS ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$+${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ inelastic scattering, $E=35\mathrm{}$ MeV; coupled channel study of $\mathrm{}\left|m\right|=1\mathrm{}$ population probability for the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ 1.37 MeV $2^{+}$ level and polarization phenomena.

• Received 2 June 1982

DOI:https://doi.org/10.1103/PhysRevC.27.143