Variational calculations of nuclear matter with approximate energy expression

Kazunori Tanaka, Masatoshi Takano

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

    Abstract

    The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.

    Original languageEnglish
    Title of host publicationProceedings of Science
    Publication statusPublished - 2008
    Event10th Symposium on Nuclei in the Cosmos, NIC 2008 - Mackinac Island, MI, United States
    Duration: 2008 Jul 272008 Aug 1

    Other

    Other10th Symposium on Nuclei in the Cosmos, NIC 2008
    CountryUnited States
    CityMackinac Island, MI
    Period08/7/2708/8/1

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    energy
    tensors
    kinetic energy
    neutrons
    Euler-Lagrange equation
    distribution functions

    ASJC Scopus subject areas

    • General

    Cite this

    Variational calculations of nuclear matter with approximate energy expression. / Tanaka, Kazunori; Takano, Masatoshi.

    Proceedings of Science. 2008.

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

    Tanaka, K & Takano, M 2008, Variational calculations of nuclear matter with approximate energy expression. in Proceedings of Science. 10th Symposium on Nuclei in the Cosmos, NIC 2008, Mackinac Island, MI, United States, 08/7/27.
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    abstract = "The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.",
    author = "Kazunori Tanaka and Masatoshi Takano",
    year = "2008",
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    AU - Takano, Masatoshi

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    AB - The approximate energy expression for the variational calculation of nuclear matter is refined by taking into account three-body cluster terms with tensor correlations. In this variational method, the energy expression is constructed as an explicit functional of various two-body distribution functions which are regarded as variational functions. Then, the Euler-Lagrange equations are derived and fully minimized energies are obtained. The previous energy expression does not include the kinetic-energy terms caused by noncentral correlations sufficiently, and the obtained energy of nuclear matter is too low. Therefore, in this study, the energy expression is improved by taking into account important missing three-body-cluster kinetic-energy terms caused by tensor correlations. In this refinement, necessary conditions on tensor structure functions play important roles. The obtained energy per neutron for neutron matter with the v6' potential is considerably higher than that of the old energy expression.

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