D-State Effects andJDependence in (α, d) Reactions

It is shown that inclusion of the $D$ state of the alpha particle in the distorted-wave amplitude for ($\alpha , d$) reactions causes a strong $J$ dependence. The $S-D$—state interference is destructive for transitions with natural-parity $J$ transfers and constructive for unnatural-parity $J$ values, thus causing, for example, an odd-even staggering in the variation with $J$ of the cross sections for exciting the states of a given multiplet. This provides a possible explanation for recent observations on the reaction ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}(\alpha , d){}_{}{}^{210}{}_{}{}^{}\mathrm{Bi}$. A similar $J$ dependence is predicted for (${}_{}{}^6{}_{}{}^{}\mathrm{Li}$, $\alpha$) reactions.