Separable-potential three-body model of the A=6 system. II. 6Li ground state

Separable-potential three-body (α np) models of the ⁶Li ground state are examined. Different separable-potential fits to the α-n phase shifts and the low-energy ³S₁-³D₁ two-nucleon parameters are reviewed, after which integral equations are derived for the spectator functions of the ⁶Li ground-state wave function assuming S₁₂, P₁₂, and P₃₂ components in the α-n interaction. These equations are solved to determine the ⁶Li binding energy and investigate its sensitivity to the ³D₁ component of the two-nucleon interaction, its variation upon neglecting different components of the α-n interaction, and its dependence on different analytical forms for the P-wave α-n interactions. For two wave functions derived from the same set of α-n interactions, but with the ³S₁-³D₁ 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 ⁶Li binding energies of 4.446 MeV (0%) and 4.070 MeV (4%) compared with the Coulomb-adjusted experimental value of 4.53 MeV. [NUCLEAR STRUCTURE ⁶Li; binding energy, wave function, wave function components, normalization. Three-body, separable-potential model.]