Abstract
Separable-potential three-body (..cap alpha..np) models of the /sup 6/Li ground state are examined. Different separable-potential fits to the ..cap alpha..-n phase shifts and the low-energy /sup 3/S/sub 1/-/sup 3/D/sub 1/ two-nucleon parameters are reviewed, after which integral equations are derived for the spectator functions of the /sup 6/Li ground-state wave function assuming S/sub 1/2/, P/sub 1/2/, and P3/2 components in the ..cap alpha..-n interaction. These equations are solved to determine the /sup 6/Li binding energy and investigate its sensitivity to the /sup 3/D/sub 1/ component of the two-nucleon interaction, its variation upon neglecting different components of the ..cap alpha..-n interaction, and its dependence on different analytical forms for the P-wave ..cap alpha..-n interactions. For two wave functions derived from the same set of ..cap alpha..-n interactions, but with the /sup 3/S/sub 1/-/sup 3/D/sub 1/ two-nucleon interaction producing 0% and 4% d-wave components in the deuteron, respectively, the spectator functions are given and the contributions to the ground-state normalization of the various components are calculated. The latter two wave functions correspond to three-body /sup 6/Li binding energies of 4.446 MeV (0%) and 4.070 MeV (4%) compared with the Coulomb-adjusted experimental value of 4.53 MeV.
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