Three-body model for ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$ with separable potentials

We report preliminary results of our calculations on the central gross features of the ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$ nucleus considered as a three body, ${}_{}{}^9{}_{}{}^{}\mathit{n}$ system employing two-body separable potentials. Even with simple s-state binary interactions, the calculations to extract information on properties such as the binding energy, the momentum distribution of ${}_{}{}^9{}_{}{}^{}\mathrm{Li}$ and of the halo neutron through the spectator functions as well as the root mean square separations of n-n and n${\mathrm{-}}^9$Li pairs within the nucleus, give results which are encouraging enough to investigate the finer details of the system using more realistic two-body interactions.