Charge-Asymmetry Measurements in ReactionsS32(d,He3)P31andS32(d,t)S31

Simultaneous measurements of ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}(d,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{31}{}_{}{}^{}\mathrm{P}$ and ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}\mathrm{}(d,t)\mathrm{}{}_{}{}^{31}{}_{}{}^{}\mathrm{S}$ cross sections have been made at beam energies of 17.7, 20.8, and 23 MeV. The experimental angular distributions and charge asymmetries are adequately described in terms of distorted-wave Born approximation calculations. Spectroscopic factors are found to be the same for ($d,{}_{}{}^3{}_{}{}^{}\mathrm{He}$) and ($d,t$) reactions within an accuracy of 5%. Ratios of cross sections for transitions to the ground states are found to decrease from 4.6 at 17.7 MeV to 2.5 at 23 MeV. Included in the ratios is a calculated factor of 1.8, which is due to a difference between single-particle wave functions of the transferred proton and neutron. A numerical estimate of the isospin impurity of the ground state of ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ is made from these differences.