A Variational Method for Infinite Fermion Systems with Central Forces : Nuclear Physics

概要

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Approximate energy expressions are proposed for infinite zero-temperature systems of spin-1/2 fermions interacting through two-body central forces which may depend on the two-body spin states. They are explicitly expressed as functionals of spin-dependent radial distribution functions, and can be used conveniently in the variational method. They include the potential energies completely and the kinetic energies up to main parts of the three-body cluster terms. A notable feature of these expressions is that they guarantee the necessary conditions on the spin-dependent structure functions automatically. The Euler-Lagrange equations are derived from these energy expressions and numerically solved for liquid ^3He and hypothetical neutron matter interacting only through central forces. The parts of the three-body cluster terms which are not included in the above expressions are treated perturbatively. The results for liquid ^3He are in fair agreement with experiment. The obtained spin-dependent radial distribution functions and structure functions are discussed in relation with pairing and cluster formation.
理論物理学刊行会の論文
1994-06-25