The equation of state of asymmetric nuclear matter at zero and finite temperatures with the variational method

Hajime Togashi, Hiroaki Kanzawa, Masatoshi Takano

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    The equation of state (EOS) of asymmetric nuclear matter at zero and finite temperatures is constructed with the variational method, starting from the realistic nuclear Hamiltonian composed of the AV18 and UIX nuclear potentials. At zero temperature, the energy per nucleon of asymmetric nuclear matter is calculated in the two-body-cluster approximation with the three-body-force contribution treated somewhat phenomenologically so as to reproduce the empirical saturation conditions. At finite temperatures, the free energies per nucleon of asymmetric nuclear matter are obtained with an extension of the variational method by Schmidt and Pandharipande. Validity of the frozen-correlation approximation employed in this study is confirmed. The obtained free energies and related thermodynamic quantities for various densities, temperatures and proton fractions are essential ingredients in our project for constructing a new nuclear EOS table for supernova simulations.

    Original languageEnglish
    Title of host publicationProceedings of Science
    Publication statusPublished - 2010
    Event11th Symposium on Nuclei in the Cosmos, NIC 2010 - Heidelberg, Germany
    Duration: 2010 Jul 192010 Jul 23

    Other

    Other11th Symposium on Nuclei in the Cosmos, NIC 2010
    CountryGermany
    CityHeidelberg
    Period10/7/1910/7/23

    Fingerprint

    equations of state
    free energy
    nuclear potential
    temperature
    approximation
    ingredients
    supernovae
    saturation
    thermodynamics
    protons
    simulation
    energy

    ASJC Scopus subject areas

    • General

    Cite this

    The equation of state of asymmetric nuclear matter at zero and finite temperatures with the variational method. / Togashi, Hajime; Kanzawa, Hiroaki; Takano, Masatoshi.

    Proceedings of Science. 2010.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Togashi, H, Kanzawa, H & Takano, M 2010, The equation of state of asymmetric nuclear matter at zero and finite temperatures with the variational method. in Proceedings of Science. 11th Symposium on Nuclei in the Cosmos, NIC 2010, Heidelberg, Germany, 10/7/19.
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    abstract = "The equation of state (EOS) of asymmetric nuclear matter at zero and finite temperatures is constructed with the variational method, starting from the realistic nuclear Hamiltonian composed of the AV18 and UIX nuclear potentials. At zero temperature, the energy per nucleon of asymmetric nuclear matter is calculated in the two-body-cluster approximation with the three-body-force contribution treated somewhat phenomenologically so as to reproduce the empirical saturation conditions. At finite temperatures, the free energies per nucleon of asymmetric nuclear matter are obtained with an extension of the variational method by Schmidt and Pandharipande. Validity of the frozen-correlation approximation employed in this study is confirmed. The obtained free energies and related thermodynamic quantities for various densities, temperatures and proton fractions are essential ingredients in our project for constructing a new nuclear EOS table for supernova simulations.",
    author = "Hajime Togashi and Hiroaki Kanzawa and Masatoshi Takano",
    year = "2010",
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    T1 - The equation of state of asymmetric nuclear matter at zero and finite temperatures with the variational method

    AU - Togashi, Hajime

    AU - Kanzawa, Hiroaki

    AU - Takano, Masatoshi

    PY - 2010

    Y1 - 2010

    N2 - The equation of state (EOS) of asymmetric nuclear matter at zero and finite temperatures is constructed with the variational method, starting from the realistic nuclear Hamiltonian composed of the AV18 and UIX nuclear potentials. At zero temperature, the energy per nucleon of asymmetric nuclear matter is calculated in the two-body-cluster approximation with the three-body-force contribution treated somewhat phenomenologically so as to reproduce the empirical saturation conditions. At finite temperatures, the free energies per nucleon of asymmetric nuclear matter are obtained with an extension of the variational method by Schmidt and Pandharipande. Validity of the frozen-correlation approximation employed in this study is confirmed. The obtained free energies and related thermodynamic quantities for various densities, temperatures and proton fractions are essential ingredients in our project for constructing a new nuclear EOS table for supernova simulations.

    AB - The equation of state (EOS) of asymmetric nuclear matter at zero and finite temperatures is constructed with the variational method, starting from the realistic nuclear Hamiltonian composed of the AV18 and UIX nuclear potentials. At zero temperature, the energy per nucleon of asymmetric nuclear matter is calculated in the two-body-cluster approximation with the three-body-force contribution treated somewhat phenomenologically so as to reproduce the empirical saturation conditions. At finite temperatures, the free energies per nucleon of asymmetric nuclear matter are obtained with an extension of the variational method by Schmidt and Pandharipande. Validity of the frozen-correlation approximation employed in this study is confirmed. The obtained free energies and related thermodynamic quantities for various densities, temperatures and proton fractions are essential ingredients in our project for constructing a new nuclear EOS table for supernova simulations.

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