The importance of including multistep inelastic processes in $\alpha$-particle-transfer reactions in light nuclei is discussed, and the necessity of using an exact-finite-range analysis of such reactions is emphasized. A formalism for the treatment of such reactions in an exact-finite-range Born approximation which includes inelastic effects to all orders is presented. An example from the ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$(${}_{}{}^3{}_{}{}^{}\mathrm{He}$, ${}_{}{}^7{}_{}{}^{}\mathrm{Be}$)${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ reaction in which it is necessary to use this analysis in order to understand the experimental data is discussed.

NUCLEAR REACTIONS $\alpha$-transfer reactions, importance of multistep inelastic processes. Formalism for exact-finite-range coupled-channels analysis.

• Received 20 August 1975

DOI:https://doi.org/10.1103/PhysRevC.14.468