The J^π0ex0ex=0ex0ex0⁺ ground state of a drop of 8 neutrons and the lowest 1/2^- and 3/2^- states of 7-neutron drops, all in an external well, are computed accurately with variational and Green's function Monte Carlo methods for a Hamiltonian containing the Argonne v₁₈ two-nucleon and Urbana IX three-nucleon potentials. These states are also calculated using Skyrme-type energy-density functionals. Commonly used functionals overestimate the central density of these drops and the spin-orbit splitting of 7-neutron drops. Improvements in the functionals are suggested.
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Pudliner et al. (1996) studied this question.
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