Theoretical analysis of the reactions induced by interaction of Li6 with H3 and He3 nuclei

Abstract

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