Systematics of the $\mathrm{}\left|m\right|=1\mathrm{}$ population probability $P_1$ of ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$($2^{+}$) in the reaction ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$′)${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$($2^{+}$) were studied using the coupled channels formalism. It was found that $P_1$ is sensitive only to the parameters of the spin-orbit potential and is determined essentially by the magnitude and the shape of the spin-orbit potential in the region of the strong absorption radius. The data require a significantly larger spin-orbit potential than that given by the folding model.

NUCLEAR REACTIONS ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$′), $E=35\mathrm{}$ MeV; coupled channels calculation of spin-flip probability for the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ 1.37 MeV $2^{+}$ level.

• Received 7 March 1980

DOI:https://doi.org/10.1103/PhysRevC.22.540