Abstract

The halo nucleus ${}^{11}\mathrm{Li}$ is treated as a three-body system consisting of an inert core of ${}^{9}\mathrm{Li}$ plus two valence neutrons. The Faddeev equations are solved using separable potentials to describe the two-body interactions, corresponding in the ${n\ensuremath{-}}^{9}\mathrm{Li}$ subsystem to a ${p}_{1/2}$ resonance plus a virtual s-wave state. The experimental ${}^{11}\mathrm{Li}$ energy is taken as input and the ${}^{9}\mathrm{Li}$ transverse momentum distribution in ${}^{11}\mathrm{Li}$ is studied.

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