AbstractThe 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 thed+Li reaction. Thed+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 processes6Li(d,p)7Li,7Li(d,p)8Li,6Li(d,n)7Be, and7Li(d,n)8Be, as well as fragmentation reactions yielding tritium,-particles, and continuous neutrons and protons in the initial deuteron kinetic-energy regionMeV. The phase shifts found forLi andLi elastic scattering, as part of the simple optic model with a complex central potential, were used to find the cross sections for the6Liand7Liradiation captures. The three-body dynamics role is also summarized to demonstrate its significant influence within theLi system.