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

TL;DR

This paper provides a theoretical analysis of the cross sections and astrophysical S-factors for reactions involving $^{6}$Li with $^{3}$H and $^{3}$He, using a microscopic three-cluster model to guide future experiments.

Contribution

The study applies a microscopic three-cluster model to predict reaction data for $^{6}$Li interactions, filling gaps due to lack of experimental measurements.

Findings

Good agreement with existing data for related reactions.

Predicted S-factors and cross sections for $^{6}$Li reactions.

Guidelines for future experimental investigations.

Abstract

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.