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

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