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Prog. Theor. Phys. Vol. 97 No. 4 (1997) pp. 569-577

[ Full Text PDF : FREE ACCESS (431K) ]

Refinement of the Energy Expression for Infinite Fermion Systems with Central Forces

Masatoshi Takano, Takumi Kaneko and Masami Yamada

Advanced Research Institute for Science and Engineering, Waseda University, Tokyo 169

(Received December 6, 1996)

Abstract:

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.


URL : http://ptp.ipap.jp/link?PTP/97/569/
DOI : 10.1143/PTP.97.569

[ Full Text PDF : FREE ACCESS (431K) ] Citation:

References:

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Citing Article(s) :

  1. 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
  2. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 185-202 :
    Variational Method for Infinite Nuclear Matter with the Paris Potential
    Masatoshi Takano
  3. 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

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