(Li6,d) reaction onO16andSi28at 75 MeV

The $^{16}\mathrm{O}$($^{6}\mathrm{Li}$,$d$)$^{20}\mathrm{Ne}$ and $^{28}\mathrm{Si}$($^{6}\mathrm{Li}$,$d$)$^{32}\mathrm{S}$ reactions have been studied at 75-MeV bombarding energy. The angular distributions have been analyzed with exact finite-range distorted-wave Born approximation calculations assuming a direct $\ensuremath{\alpha}$-cluster transfer. The calculations account for the shapes of the experimental angular distributions reasonably well. For the $^{16}\mathrm{O}$($^{6}\mathrm{Li}$,$d$)$^{20}\mathrm{Ne}$ reaction, the extracted relative $\ensuremath{\alpha}$-particle spectroscopic factors for the $^{20}\mathrm{Ne}$ ground state band are in good agreement with theoretical predictions, while those for the ${\mathrm{O}}^{\ensuremath{-}}$ excited band are in disagreement with them. For the $^{28}\mathrm{Si}$($^{6}\mathrm{Li}$,$d$)$^{32}\mathrm{S}$ reaction, spectroscopic factors are extracted for low-lying states of $^{32}\mathrm{S}$ and compared with those from other $\ensuremath{\alpha}$-transfer reactions. Some strongly populated states have been observed at high excitation energies of $^{32}\mathrm{S}$.