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Prog. Theor. Phys. Vol. 91 No. 6 (1994) pp. 1149-1172

[ Full Text PDF : FREE ACCESS (2289K) ]

A Variational Method for Infinite Fermion Systems with Central Forces

Masatoshi Takano and Masami Yamada

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

(Received February 17, 1994)

Abstract:

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 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.


URL : http://ptp.ipap.jp/link?PTP/91/1149/
DOI : 10.1143/PTP.91.1149

[ Full Text PDF : FREE ACCESS (2289K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 93 No. 4 (1995) pp. 745-756 :
    Approximate Energy Expression for Symmetric Nuclear Matter with Central Forces
    Masatoshi Takano
  2. Progress of Theoretical Physics Vol. 97 No. 4 (1997) pp. 569-577 :
    Refinement of the Energy Expression for Infinite Fermion Systems with Central Forces
    Masatoshi Takano, Takumi Kaneko and Masami Yamada
  3. 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
  4. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 185-202 :
    Variational Method for Infinite Nuclear Matter with the Paris Potential
    Masatoshi Takano
  5. 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
  6. Progress of Theoretical Physics Vol. 116 No. 3 (2006) pp. 545-571 :
    Variational Study of Asymmetric Nuclear Matter and a New Term in the Mass Formula
    Masatoshi Takano and Masami Yamada
  7. Progress of Theoretical Physics Supplement No.156 (2004) pp. 141-142 :
    Variational Calculations for the Equation of State of Asymmetric Nuclear Matter
    Masatoshi Takano

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