Abstract
The energy of the neutron gas is studied with the Reid and Bressel-Kerman-Rouben soft-core potentials up to a density of 4.5 neutrons fm 3 . Very approximate estimates for neutron gas and solid energies are presented also for the Hamada-Johnston hard-core potential. The short-range correlations are treated by a simple variational method in which the cluster expansion of the energy expectation value, with a Jastrow wave function is truncated at the lowest-order two-body clusters. Healing constraints are introduced in the variation from qualitative comparison with lowest-order Brueckner theory and a differential equation is obtained for the correlation function by minimizing the energy. The effective interaction for use with uncorrelated wave functions, given by this procedure is also interpreted with the Moszkowski-Scott separation method. It is shown that the lowest-order calculations may be reasonable for the Reid and Bressel-Kerman-Rouben soft core potentials, whereas their applicability with Hamada-Johnston hard-core potential is doubtful for ϱ ⪆ 0.7 fm -3 . The results give an approximate equation of state for dense neutron matter and the order of uncertainty in it due to that in neutron-neutron interaction at short range, and may be useful in neutron star structure investigations.
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