Comparison of mean-field and exact Monte Carlo solutions of a one-dimensional nuclear model

The ground states of nuclear matter and finite nuclei are calculated for a one-dimensional model having a two-body potential with strong short-range repulsion and long-range attraction. Mean-field theory with a phenomenological density-dependent interaction is shown to yield a good approximation to the exact binding energies and density distributions when appropriate center-of-mass corrections are applied. This model thus provides a framework for quantitative study of corrections to mean-field theory.