Neutron Drops and Skyrme Energy-Density Functionals

Abstract

The J${}^{\pi }$=0${}^{+}$ 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 $v_{18}$ 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.

References in corpus (2)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Quantum Monte Carlo Calculations of $A\le 6$ Nuclei

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