Deuteron inelastic scattering on6Li and7Li nuclei within the three-body cluster model *

Abstract 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, -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 6 Li and 7 Li radiation captures. The three-body dynamics role is also summarized to demonstrate its significant influence within the Li system.