Variational calculation for the equation of state of nuclear matter at finite temperatures

H. Kanzawa, K. Oyamatsu, K. Sumiyoshi, Masatoshi Takano

    Research output: Contribution to journalArticle

    32 Citations (Scopus)

    Abstract

    An equation of state (EOS) for uniform nuclear matter is constructed at zero and finite temperatures with the variational method starting from the realistic nuclear Hamiltonian composed of the Argonne V18 and UIX potentials. The energy is evaluated in the two-body cluster approximation with the three-body-force contribution treated phenomenologically so as to reproduce the empirical saturation conditions. The obtained energies for symmetric nuclear matter and neutron matter at zero temperature are in fair agreement with those by Akmal, Pandharipande and Ravenhall, and the maximum mass of the neutron star is 2.2 Mȯ. At finite temperatures, a variational method by Schmidt and Pandharipande is employed to evaluate the free energy, which is used to derive various thermodynamic quantities of nuclear matter necessary for supernova simulations. The result of this variational method at finite temperatures is found to be self-consistent.

    Original languageEnglish
    Pages (from-to)232-250
    Number of pages19
    JournalNuclear Physics A
    Volume791
    Issue number1-2
    DOIs
    Publication statusPublished - 2007 Jul 1

    Fingerprint

    equations of state
    temperature
    neutron stars
    supernovae
    free energy
    saturation
    neutrons
    thermodynamics
    energy
    approximation
    simulation

    Keywords

    • Neutron stars
    • Nuclear EOS
    • Nuclear matter
    • Supernovae
    • Variational method

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Variational calculation for the equation of state of nuclear matter at finite temperatures. / Kanzawa, H.; Oyamatsu, K.; Sumiyoshi, K.; Takano, Masatoshi.

    In: Nuclear Physics A, Vol. 791, No. 1-2, 01.07.2007, p. 232-250.

    Research output: Contribution to journalArticle

    Kanzawa, H. ; Oyamatsu, K. ; Sumiyoshi, K. ; Takano, Masatoshi. / Variational calculation for the equation of state of nuclear matter at finite temperatures. In: Nuclear Physics A. 2007 ; Vol. 791, No. 1-2. pp. 232-250.
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