Mechanism of (p, t) and (p,He3) reactions by the analysis of the energy dependence of mirror transitions

The reactions ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}(p, t){}_{}{}^{11}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}(p, {}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{11}{}_{}{}^{}\mathrm{B}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}(p, t){}_{}{}^{14}{}_{}{}^{}\mathrm{O}$, and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}(p, {}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{14}{}_{}{}^{}\mathrm{N}$ have been studied at several incident energies between 24 and 44 MeV. Previous results on the ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}(p, t){}_{}{}^{13}{}_{}{}^{}\mathrm{N}$ and ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}(p, {}_{}{}^3{}_{}{}^{}\mathrm{He}){}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ reactions are also considered in the analysis. The energy dependence of cross section ratios for mirror transitions evidences that these reactions cannot be described below 35-40 MeV simply as a direct two-nucleon pickup. The values for spin and isospin dependent terms in the effective interactions obtained from a distorted-wave Born-approximation analysis differ from those used in shell model calculations and in microscopic analyses of inelastic scattering.