Prog. Theor. Phys. Vol. 97 No. 4 (1997) pp. 569-577
Refinement of the Energy Expression for Infinite Fermion Systems with Central Forces
Advanced Research Institute for Science and Engineering,
Waseda University, Tokyo 169
(Received December 6, 1996)
A refinement is made on the approximate energy expression proposed previously by Takano and Yamada 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. This refinement is accomplished through incorporation of a certain part of the three-body-cluster exchange terms into the energy expression. The Euler-Lagrange equation is derived from the refined energy expression and solved numerically for liquid 3He and for neutron matter. The energy per particle for liquid 3He is in better agreement with experimental data, while the effect of this refinement is relatively small for neutron matter. The three-body cluster terms not included in the refined energy expression are evaluated perturbatively and shown to be negligibly small for liquid 3He as well as for neutron matter with cenral forces.
DOI : 10.1143/PTP.97.569
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Citing Article(s) :
Progress of Theoretical Physics Vol. 100 No. 4 (1998) pp. 745-771
Variational Method for Infinite Nuclear Matter
with Noncentral Forces
Masatoshi Takano and Masami Yamada
Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 185-202
Variational Method for Infinite Nuclear Matter with the Paris Potential
Progress of Theoretical Physics Vol. 109 No. 2 (2003) pp. 213-232
Approximate Energy Expression for Spin-Polarized Fermi Liquids
Masatoshi Takano, Tomoki Endo, Ryusuke Kimura and Masami Yamada