Finite-range distorted-wave Born-approximation study of the (${}_{}{}^4{}_{}{}^{}\mathrm{He}$, ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$) reaction on ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$

Angular distributions have been obtained for the ($\alpha ,{}_{}{}^6{}_{}{}^{}\mathrm{Li}$) reaction at 46 MeV on targets of ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$. A finite-range distorted-wave Born-approximation analysis is performed using shell model wave functions to describe the target and various cluster wave functions to describe ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$. Finite-range effects are evident in the predicted absolute magnitudes but not in the shapes of the angular distributions, which are poorly fitted. Reasonable agreement between measured and predicted absolute cross sections is obtained if the product of the $\alpha -d$ wave function and potential for the ${}_{}{}^6{}_{}{}^{}\mathrm{Li}$ has no node away from the origin.

NUCLEAR REACTIONS ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$, ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}(\alpha ,{}_{}{}^6{}_{}{}^{}\mathrm{Li})$, $E=46\mathrm{}$ MeV; measured $\sigma (E_{6_{\mathrm{Li}}},\theta )$: Finite-range DWBA analysis with microscopic wave functions.