Many-Channel Microscopic Model for Resonance Structure in \(^{9}\)Be and \(^{9}\)B: Astrophysical Insights

This study presents a novel many-channel microscopic model to describe high-energy resonance states in \(^9\) ${}^9$ Be and \(^9\) ${}^9$ B, particularly addressing the cosmological lithium problem. The model integrates multiple three-cluster configurations and binary channels, unveiling 18 resonance states in each nucleus. Significant emphasis is placed on understanding resonance states’ impact on astrophysical S-factors, particularly in reactions involving \(^7\) ${}^7$ Li, \(^7\) ${}^7$ Be, \(^6\) ${}^6$ Li, \(^3\) ${}^3$ H, \(^3\) ${}^3$ He and a deuteron. The results highlight the influence of resonance states and channel coupling on S-factors, offering new insights into nuclear reactions crucial for cosmological inquiries. This comprehensive analysis bridges theoretical predictions with experimental data, enhancing our understanding of nuclear processes in astrophysical contexts.