Proton Transfer Reactions onMg26andSi30via the ReactionsMg26(He3,d)Al27andSi30(He3,d)P31

The proton transfer reactions on ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}$ and ${}_{}{}^{30}{}_{}{}^{}\mathrm{Si}$ were studied using the reactions ${}_{}{}^{26}{}_{}{}^{}\mathrm{Mg}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ and ${}_{}{}^{30}{}_{}{}^{}\mathrm{Si}({}_{}{}^3{}_{}{}^{}\mathrm{He},d){}_{}{}^{31}{}_{}{}^{}\mathrm{P}$ at 17.85-MeV bombarding energy. Transitions to $T_{>}$ and $T_{<}$ levels were obtained. The spectroscopic factors from distorted-wave Born-approximation analysis were compared with information obtained at lower bombarding energies. The number of $T_{<}$ states is discussed qualitatively in terms of fragmentation caused by core-polarization states. The value for the isovector potential responsible for the splitting of the $T_{>}$ and $T_{<}$ states was determined for several orbits. Charge radii calculated for Coulomb energy differences indicated that ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ requires a larger radius parameter than ${}_{}{}^{31}{}_{}{}^{}\mathrm{P}$.