Finite-range distorted-waves Born-approximation calculations, which included recoil effects exactly, were performed for the reaction ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$(${}_{}{}^3{}_{}{}^{}\mathrm{He}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^{10}{}_{}{}^{}\mathrm{C}$ leading to the $0^{+}$, ground state and the $2^{+}$, 3.35 MeV state in ${}_{}{}^{10}{}_{}{}^{}\mathrm{C}$ for a bombarding energy of 70.3 MeV. The results of the analysis showed that, contrary to the findings of a zero-range distorted-waves Born-approximation study, this reaction can be interpreted as a direct cluster transfer to both of the final states in ${}_{}{}^{10}{}_{}{}^{}\mathrm{C}$.

NUCLEAR REACTIONS ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$(${}_{}{}^3{}_{}{}^{}\mathrm{He}$, ${}_{}{}^6{}_{}{}^{}\mathrm{He}$)${}_{}{}^{10}{}_{}{}^{}\mathrm{C}$, $E=70\mathrm{}$ MeV; calculated $\sigma \left(\theta \right)$. Finite range DWBA analysis.

• Received 9 February 1976

DOI:https://doi.org/10.1103/PhysRevC.14.619