Many-channel microscopic theory of resonance states and scattering processes in Be9 and B9

We present a many-channel microscopic model that extends the three-cluster model previously formulated by Vasilevsky et al. Nucl. Phys. A 824, 37 (2009). This extended model incorporates multiple three-cluster configurations, which are subsequently reduced to a comprehensive set of binary channels. These channels dictate the dynamics of various nuclear processes and the resonance structure of a compound nucleus across a broad energy spectrum. The application of this model focuses on investigating the nature of high-energy resonance states in ^9Be and ^9B, as well as the astrophysical S factors for the reactions ^7Li (d, n) and ^7Be (d, p), particularly pertinent to the cosmological lithium problem. Parametrization of resonance states is performed across a wide range of total angular momenta and includes states of both positive and negative parity. Dominant decay channels are identified for each resonance state. Detailed analysis of astrophysical S factors resulting from deuteron interactions with ^7Li and ^7Be is conducted within an energy range from zero to 2 MeV. Four exit channels in ^9Be ^8Be (0^+) +n, ^8Be (2^+) +n, ^5He (3/2^-) +, ^5He (1/2^-) + and four in ^9B ^8Be (0^+) +p, ^8Be (2^+) +p, ^5Li (3/2^-) +, ^5Li (1/2^-) + are considered. A clear hierarchy of reactions is established for the energy range 0<1. 0 MeV. Notably, reactions ^7Li+d=^8Be (0^+) +n and ^7Be+d=^8Be (0^+) +p substantially dominate over all other reactions within this energy range. The model satisfactorily describes the experimental astrophysical S factors for these reactions.