(p, He3) and (p,t) reactions onSi29

Differential cross sections of the ${}_{}{}^{29}{}_{}{}^{}\mathrm{Si}(p,{}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ and ${}_{}{}^{29}{}_{}{}^{}\mathrm{Si}\mathrm{}(p,t)\mathrm{}{}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ reactions between ${\theta }_{\mathrm{lab}}=4\mathrm{} \mathrm{and} 60°$ have been measured at 40.1 MeV bombarding energy. Assignments of the $L$ transfers on the basis of comparisons to distorted-wave Born approximation (DWBA) calculations yield several new spin and parity assignments for states in ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$. The experimental differential cross sections of the transitions to several of the low-lying mirror pairs of final states in ${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$ and ${}_{}{}^{27}{}_{}{}^{}\mathrm{Si}$ are compared to the results of microscopic DWBA calculations in order to study the spin-isospin dependence of the interaction potential in the two-nucleon transfer reaction and to test current shell-model wave functions for the nuclear states involved.