Differential cross sections for the (${}_{}{}^7{}_{}{}^{}\mathrm{Li}$, $t$) reaction on ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{18}{}_{}{}^{}\mathrm{O}$, and ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$ at bombarding energies between 12 and 20 MeV have been analyzed with a finite-range plane-wave direct-reaction model. Sixteen triton angular distributions leading to strongly excited states in ${}_{}{}^{20}{}_{}{}^{}\mathrm{Ne}$, ${}_{}{}^{22}{}_{}{}^{}\mathrm{Ne}$, and ${}_{}{}^{24}{}_{}{}^{}\mathrm{Mg}$ have been selected so as to test the model over an extended range of reaction $Q$ values, angular momentum transfers, and incident beam energies. The projectile form factor has been evaluated using a phenomenological $p$ state $\alpha$-plus-triton cluster-model wave function. Coulomb-distortion effects have been accounted for in the local-energy WKB approximation. Relative $\alpha$ cluster widths have been extracted and the effects of the structure of the projectile on the reaction process have been discussed. Results of the analysis show that the model gives an adequate description of the shape of the angular distributions and the kinematic dependence of cross sections.

• Received 5 August 1970

DOI:https://doi.org/10.1103/PhysRevC.2.2149