Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions

Kazunori Tanaka, Masatoshi Takano

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

    Abstract

    We refine the approximate energy expression for neutron matter by taking into account three-body cluster terms with tensor correlations. The energy expression is an explicit functional of two-body distribution functions and used conveniently in the variational method. The energy expression proposed previously does not include kinetic energy terms caused by noncentral correlations sufficiently, and the obtained energy is too low. In this study, we refine the energy expression by introducing the main part of the missing three-body cluster terms that are related to the tensor correlations. The refined energy expression automatically guarantees necessary conditions on tensor structure functions. The obtained energy per neutron with the v6'potential is considerably higher than that of the old energy expression.

    Original languageEnglish
    Title of host publicationOrigin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies
    Subtitle of host publicationFrom the Dawn of Universe to the Formation of Solar System, OMEG 2007
    PublisherAmerican Institute of Physics Inc.
    Pages293-298
    Number of pages6
    Volume1016
    ISBN (Electronic)9780735405370
    DOIs
    Publication statusPublished - 2008 Jan 1
    Event10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007 - Sapporo, Japan
    Duration: 2007 Dec 42007 Dec 7

    Other

    Other10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007
    CountryJapan
    CitySapporo
    Period07/12/407/12/7

    Fingerprint

    tensors
    energy
    neutrons
    kinetic energy
    distribution functions

    Keywords

    • Asymmetric matter neutron matter
    • Cluster models
    • Nuclear matter

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Tanaka, K., & Takano, M. (2008). Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions. In Origin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007 (Vol. 1016, pp. 293-298). American Institute of Physics Inc.. https://doi.org/10.1063/1.2943588

    Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions. / Tanaka, Kazunori; Takano, Masatoshi.

    Origin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007. Vol. 1016 American Institute of Physics Inc., 2008. p. 293-298.

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

    Tanaka, K & Takano, M 2008, Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions. in Origin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007. vol. 1016, American Institute of Physics Inc., pp. 293-298, 10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007, Sapporo, Japan, 07/12/4. https://doi.org/10.1063/1.2943588
    Tanaka K, Takano M. Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions. In Origin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007. Vol. 1016. American Institute of Physics Inc. 2008. p. 293-298 https://doi.org/10.1063/1.2943588
    Tanaka, Kazunori ; Takano, Masatoshi. / Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions. Origin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies: From the Dawn of Universe to the Formation of Solar System, OMEG 2007. Vol. 1016 American Institute of Physics Inc., 2008. pp. 293-298
    @inproceedings{3e3c0cd595f0442aa2740c921ab2dd21,
    title = "Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions",
    abstract = "We refine the approximate energy expression for neutron matter by taking into account three-body cluster terms with tensor correlations. The energy expression is an explicit functional of two-body distribution functions and used conveniently in the variational method. The energy expression proposed previously does not include kinetic energy terms caused by noncentral correlations sufficiently, and the obtained energy is too low. In this study, we refine the energy expression by introducing the main part of the missing three-body cluster terms that are related to the tensor correlations. The refined energy expression automatically guarantees necessary conditions on tensor structure functions. The obtained energy per neutron with the v6'potential is considerably higher than that of the old energy expression.",
    keywords = "Asymmetric matter neutron matter, Cluster models, Nuclear matter",
    author = "Kazunori Tanaka and Masatoshi Takano",
    year = "2008",
    month = "1",
    day = "1",
    doi = "10.1063/1.2943588",
    language = "English",
    volume = "1016",
    pages = "293--298",
    booktitle = "Origin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies",
    publisher = "American Institute of Physics Inc.",

    }

    TY - GEN

    T1 - Approximate Energy Expression for Nuclear Matter with Tensor Structure Functions

    AU - Tanaka, Kazunori

    AU - Takano, Masatoshi

    PY - 2008/1/1

    Y1 - 2008/1/1

    N2 - We refine the approximate energy expression for neutron matter by taking into account three-body cluster terms with tensor correlations. The energy expression is an explicit functional of two-body distribution functions and used conveniently in the variational method. The energy expression proposed previously does not include kinetic energy terms caused by noncentral correlations sufficiently, and the obtained energy is too low. In this study, we refine the energy expression by introducing the main part of the missing three-body cluster terms that are related to the tensor correlations. The refined energy expression automatically guarantees necessary conditions on tensor structure functions. The obtained energy per neutron with the v6'potential is considerably higher than that of the old energy expression.

    AB - We refine the approximate energy expression for neutron matter by taking into account three-body cluster terms with tensor correlations. The energy expression is an explicit functional of two-body distribution functions and used conveniently in the variational method. The energy expression proposed previously does not include kinetic energy terms caused by noncentral correlations sufficiently, and the obtained energy is too low. In this study, we refine the energy expression by introducing the main part of the missing three-body cluster terms that are related to the tensor correlations. The refined energy expression automatically guarantees necessary conditions on tensor structure functions. The obtained energy per neutron with the v6'potential is considerably higher than that of the old energy expression.

    KW - Asymmetric matter neutron matter

    KW - Cluster models

    KW - Nuclear matter

    UR - http://www.scopus.com/inward/record.url?scp=85036556163&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85036556163&partnerID=8YFLogxK

    U2 - 10.1063/1.2943588

    DO - 10.1063/1.2943588

    M3 - Conference contribution

    VL - 1016

    SP - 293

    EP - 298

    BT - Origin of Matter and Evolution of Galaxies - 10th International Symposium on Origin of Matter and Evolution of Galaxies

    PB - American Institute of Physics Inc.

    ER -