${}_{16}O$ spectroscopy and ${}_{12}C({}_7\mathrm{Li},t){}_{16}O$ transfer reaction using multichannel microscopic $\alpha +{}_{12}C$ wave functions

We analyze the ${}_{12}C({}_7\mathrm{Li},t){}_{16}O$ transfer reaction in a semimicroscopic approach. We use fully antisymmetric $\alpha +{}_{12}C$ wave functions defined in the resonating group method (RGM) to study the ${}_{16}O$ spectroscopy and overlap integrals. We include several $\alpha +{}_{12}C(0^{+},1^{+},2^{+},3^{+},4^{+})$ configurations. In the semimicroscopic calculations, we use the overlap integrals provided by the RGM formalism. The ${}_7\mathrm{Li}+{}_{12}C$ scattering wave functions are defined in the continuum-discretized coupled channel (CDCC) model to include ${}_7\mathrm{Li}$ breakup effects. The CDCC approach is tested by analyzing elastic scattering data, which are satisfactorily described at small angles. Our semimicroscopic results are in fair agreement with the experimental ${}_{12}C({}_7\mathrm{Li},t){}_{16}O$ data. We also determine the mirror ${}_{12}C({}_7\mathrm{Be},{}_3\mathrm{He}){}_{16}O$ cross section, which is experimentally known. The transfer cross sections are obtained without any parameter fitting since the spectroscopic factors are an output of the RGM, and are not fitted to the data.