Momentum distributions of particles from nuclear breakup of fast three-body halos are calculated consistently, and applied to ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$. The same two-body interactions between the three particles are used to calculate the ground state structure and the final state of the reaction processes. We reproduce the available momentum distributions from ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$ fragmentation, together with the size and energy of ${}_{}{}^{11}{}_{}{}^{}\mathrm{Li}$, with a neutron-core relative state containing a p-state admixture of 20%–30%. The available fragmentation data strongly suggest an s state in ${}_{}{}^{10}{}_{}{}^{}\mathrm{Li}$ at about 50 keV and indicate a p state around 500 keV. © 1996 The American Physical Society.

• Received 17 October 1995

DOI:https://doi.org/10.1103/PhysRevC.53.3159