Validity of constrained variational methods for dense neutron matter

Physics – Nuclear Physics

Scientific paper

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Scientific paper

The energies of fictitious Boltzmann particles of neutron mass interacting via simple Yukawa potentials are calculated by the method of constrained variation in the lowest order (LOCV) and hypernetted chain (HNCV) approximations. Comparison of calculated energies with exact Monte Carlo results indicates that LOCV may overestimate the liquid energy by ~ 10% while it could be accurate to within ~ 5% in the solid phase. The liquid energies in the HNCV approximation are almost identical with the Monte Carlo energies, suggesting that it is a very good approximation for the neutron matter problem. A comparison with the results obtained by other lowest order methods shows that the constrained variation is probably the most reasonable approximation scheme to treat neutron matter with realistic interactions. The shortcomings of LOCV are also stated.

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