Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces

H. Togashi, K. Nakazato, Y. Takehara, S. Yamamuro, H. Suzuki, Masatoshi Takano

    Research output: Contribution to journalArticle

    22 Citations (Scopus)

    Abstract

    A new table of the nuclear equation of state (EOS) based on realistic nuclear potentials is constructed for core-collapse supernova numerical simulations. Adopting the EOS of uniform nuclear matter constructed by two of the present authors with the cluster variational method starting from the Argonne v18 and Urbana IX nuclear potentials, the Thomas–Fermi calculation is performed to obtain the minimized free energy of a Wigner–Seitz cell in non-uniform nuclear matter. As a preparation for the Thomas–Fermi calculation, the EOS of uniform nuclear matter is modified so as to remove the effects of deuteron cluster formation in uniform matter at low densities. Mixing of alpha particles is also taken into account following the procedure used by Shen et al. (1998, 2011). The critical densities with respect to the phase transition from non-uniform to uniform phase with the present EOS are slightly higher than those with the Shen EOS at small proton fractions. The critical temperature with respect to the liquid–gas phase transition decreases with the proton fraction in a more gradual manner than in the Shen EOS. Furthermore, the mass and proton numbers of nuclides appearing in non-uniform nuclear matter with small proton fractions are larger than those of the Shen EOS. These results are consequences of the fact that the density derivative coefficient of the symmetry energy of our EOS is smaller than that of the Shen EOS.

    Original languageEnglish
    Pages (from-to)78-105
    Number of pages28
    JournalNuclear Physics A
    Volume961
    DOIs
    Publication statusPublished - 2017 May 1

    Fingerprint

    supernovae
    equations of state
    simulation
    nuclear potential
    protons
    nuclides
    alpha particles
    deuterons
    critical temperature
    free energy
    preparation
    symmetry
    coefficients
    cells

    Keywords

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

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces. / Togashi, H.; Nakazato, K.; Takehara, Y.; Yamamuro, S.; Suzuki, H.; Takano, Masatoshi.

    In: Nuclear Physics A, Vol. 961, 01.05.2017, p. 78-105.

    Research output: Contribution to journalArticle

    Togashi, H. ; Nakazato, K. ; Takehara, Y. ; Yamamuro, S. ; Suzuki, H. ; Takano, Masatoshi. / Nuclear equation of state for core-collapse supernova simulations with realistic nuclear forces. In: Nuclear Physics A. 2017 ; Vol. 961. pp. 78-105.
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