New equations of state based on the liquid drop model of heavy nuclei and quantum approach to light nuclei for core-collapse supernova simulations

Shun Furusawa, Kohsuke Sumiyoshi, Shoichi Yamada, Hideyuki Suzuki

    Research output: Contribution to journalArticle

    38 Citations (Scopus)

    Abstract

    We construct new equations of state for baryons at subnuclear densities for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with thermodynamic quantities. A model free energy is constructed, based on the relativistic mean field theory for nucleons and the mass formula for nuclei with the proton number up to ∼1000. The formulation is an extension of the previous model, in which we adopted the liquid drop model to all nuclei under the nuclear statistical equilibrium. We reformulate the new liquid drop model so that the temperature dependences of bulk energies could be taken into account. Furthermore, we extend the region in the nuclear chart, in which shell effects are included, by using theoretical mass data in addition to experimental ones. We also adopt a quantum-theoretical mass evaluation of light nuclei, which incorporates the Pauli- and self-energy shifts that are not included in the ordinary liquid drop model. The pasta phases for heavy nuclei are taken into account in the same way as in the previous model. We find that the abundances of heavy nuclei are modified by the shell effects of nuclei and temperature dependence of bulk energies. These changes may have an important effect on the rates of electron captures and coherent neutrino scatterings on nuclei in supernova cores. The abundances of light nuclei are also modified by the new mass evaluation, which may affect the heating and cooling rates of supernova cores and shocked envelopes.

    Original languageEnglish
    Article number95
    JournalAstrophysical Journal
    Volume772
    Issue number2
    DOIs
    Publication statusPublished - 2013 Aug 1

    Fingerprint

    heavy nuclei
    equation of state
    supernovae
    equations of state
    liquid
    nuclei
    simulation
    energy
    shell
    temperature dependence
    evaluation
    charts
    massive stars
    electron capture
    nucleons
    thermodynamics
    temperature
    scattering
    baryons
    envelopes

    Keywords

    • equation of state
    • neutrinos
    • nuclear reactions, nucleosynthesis, abundances
    • supernovae: general

    ASJC Scopus subject areas

    • Space and Planetary Science
    • Astronomy and Astrophysics

    Cite this

    New equations of state based on the liquid drop model of heavy nuclei and quantum approach to light nuclei for core-collapse supernova simulations. / Furusawa, Shun; Sumiyoshi, Kohsuke; Yamada, Shoichi; Suzuki, Hideyuki.

    In: Astrophysical Journal, Vol. 772, No. 2, 95, 01.08.2013.

    Research output: Contribution to journalArticle

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