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Prog. Theor. Phys. Vol. 93 No. 4 (1995) pp. 745-756

[ Full Text PDF : FREE ACCESS (535K) ]

Approximate Energy Expression for Symmetric Nuclear Matter with Central Forces

Masatoshi Takano

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

(Received October 31, 1994)

Abstract:

An approximate energy expression is proposed for infinite zero-temperature symmetric nuclear matter in which nucleons interact through two-body central forces depending on the two-body spin-isospin states. It is a functional of spin-isospin-dependent radial distribution functions, and includes the potential energies completely and the kinetic energies up to the main part of the three-body cluster terms. A notable feature of this expression is that it automatically guarantees the necessary conditions on the spin-isospin-dependent structure functions. This expression is conveniently used in the variational method; the Euler-Lagrange equations are derived and numerically solved for four typical potentials. The obtained energies per nucleon are shown together with the spin-isospin-dependent radial distribution functions and structure functions.


URL : http://ptp.ipap.jp/link?PTP/93/745/
DOI : 10.1143/PTP.93.745

[ Full Text PDF : FREE ACCESS (535K) ] Citation:

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Citing Article(s) :

  1. 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
  2. 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
  3. Progress of Theoretical Physics Vol. 104 No. 1 (2000) pp. 185-202 :
    Variational Method for Infinite Nuclear Matter with the Paris Potential
    Masatoshi Takano
  4. 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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