Deuteron inelastic scattering on ~6Li and ~7Li nuclei within the three-body cluster model

The problem of the deuteron interaction with lithium nuclei,treated as a system of two coupled pointlike clusters,is formulated to calculate the cross sections of the d+Li reaction.The d+Li reaction mechanism is described using the Faddeev theory for the three-body problem of deuteron-nucleus interaction.This theory is slightly extended for calculation of the stripping processes ~6 Li(d,p)~7 Li,~7 Li(d,p)~8 Li,~6 Li(d,n)~7 Be,and ~7 Li(d,n)~8 Be,as well as fragmentation reactions yielding tritium,α-particles,and continuous neutrons and protons in the initial deuteron kineticenergy region Ed=0.5-20 MeV.The phase shifts found for d+~6 Li and d+~7 Li elastic scattering,as part of the simple optic model with a complex central potential,were used to find the cross sections for the ~6 Li(d,γM1)~8 Be and~7 Li(d,γE1)~9 Be radiation captures.The three-body dynamics role is also summarized to demonstrate its significant influence within the d+~7 Li system.