Theoretical analysis of the reactions induced by interaction of ${}^6$Li with nuclei ${}^3$H and ${}^3$He

We determine cross sections and astrophysical S-factors of the reactions generated in collisions between ${}^6$Li and ${}^3$H, and ${}^6$Li and ${}^3$He. A microscopic three-cluster model is employed to study the dynamics of reactions occurring in the mirror nuclei ${}^9$Be and ${}^9$B. In a previous study [Phys. Rev. C {\bf 109}, 045803 (2024)], this model was successfully applied to investigate the resonance structure of ${}^9$Be and ${}^9$B, as well as reactions induced by the interaction of deuterons with ${}^7$Li and ${}^7$Be. A fairly good agreement between theoretical results and available experimental data was achieved. To the best of our knowledge, appropriate experimental data for the astrophysical S-factors of the reactions generated by the interaction of ${}^6$Li with ${}^3$H and with ${}^3$He are currently unavailable. Thus, our results can serve as a guideline for future experimental efforts.