Variational Method for Nuclear Matter with an Explicit Energy Functional

Masatoshi Takano, Hajime Togashi, Sachiko Yamamuro, Ken'ichiro Nakazato, Hideyuki Suzuki

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

    Abstract

    We report on the status of two variational studies of the nuclear equation of state (EOS). One is the study of the variational method with an explicit energy functional (EEF). We have been studying the EEF with two-body central and tensor forces, and, in this paper, we extend the EEF to take into account the state-independent three-body force. The calculated energy of neutron matter with the two-body v6' potential and the repulsive part of the UIX potential is close to that with the Monte Carlo method using the full UIX. The maximum mass of the neutron star with this EOS is about 2.5M ȯ. The other study is a construction of a new nuclear EOS table for supernova numerical simulations that is based on the cluster variational method. Starting from the nuclear Hamiltonian with the AV18 two-body force and the UIX three-body force, the EOS of uniform hot asymmetric nuclear matter is calculated using the method of Schmidt and Pandharipande. For non-uniform nuclear matter, the free energy of a Wigner-Seitz cell is calculated in the Thomas-Fermi approximation. At zero temperature, a reasonable phase diagram is obtained.

    Original languageEnglish
    Title of host publicationProceedings of Science
    Publication statusPublished - 2012
    Event12th International Symposium on Nuclei in the Cosmos, NIC 2012 - Cairns, QLD, Australia
    Duration: 2012 Aug 52012 Aug 12

    Other

    Other12th International Symposium on Nuclei in the Cosmos, NIC 2012
    CountryAustralia
    CityCairns, QLD
    Period12/8/512/8/12

    Fingerprint

    equations of state
    energy
    neutron stars
    Monte Carlo method
    supernovae
    free energy
    phase diagrams
    tensors
    neutrons
    cells
    approximation
    simulation
    temperature

    ASJC Scopus subject areas

    • General

    Cite this

    Takano, M., Togashi, H., Yamamuro, S., Nakazato, K., & Suzuki, H. (2012). Variational Method for Nuclear Matter with an Explicit Energy Functional. In Proceedings of Science

    Variational Method for Nuclear Matter with an Explicit Energy Functional. / Takano, Masatoshi; Togashi, Hajime; Yamamuro, Sachiko; Nakazato, Ken'ichiro; Suzuki, Hideyuki.

    Proceedings of Science. 2012.

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

    Takano, M, Togashi, H, Yamamuro, S, Nakazato, K & Suzuki, H 2012, Variational Method for Nuclear Matter with an Explicit Energy Functional. in Proceedings of Science. 12th International Symposium on Nuclei in the Cosmos, NIC 2012, Cairns, QLD, Australia, 12/8/5.
    Takano M, Togashi H, Yamamuro S, Nakazato K, Suzuki H. Variational Method for Nuclear Matter with an Explicit Energy Functional. In Proceedings of Science. 2012
    Takano, Masatoshi ; Togashi, Hajime ; Yamamuro, Sachiko ; Nakazato, Ken'ichiro ; Suzuki, Hideyuki. / Variational Method for Nuclear Matter with an Explicit Energy Functional. Proceedings of Science. 2012.
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