Explicit energy functional for infinite nuclear matter with the tensor force

Masatoshi Takano, K. Kato, M. Yamada

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    We have applied the variational method using explicit energy functionals (EEFs) to energy calculations of infinite nuclear matter. In EEFs, the energy per nucleon is explicitly expressed with spin-isospin-dependent two-body distribution functions, which are regarded as variational functions, and fully minimized energies are conveniently calculated with the EEF. A remarkable feature of this approach is that EEFs guarantee non-negativeness of structure functions. In this study, we extend the EEF variational method so as to consider state- independent three-body forces for neutron matter at finite temperatures following the procedure proposed by Schmidt and Pandharipande. For neutron matter, the free energies obtained with the Argonne v4' two-body potential and the repulsive part of the Urbana IX (UIX) three- body potential are quite reasonable. Furthermore, we improve the EEF of nuclear matter using the two-body central and tensor forces by considering the main three-body cluster terms and guaranteeing non-negativeness of tensor structure functions. In addition, healing distances are introduced for two-body distribution functions so that Mayer's condition is satisfied. The obtained energies per neutron of neutron matter with the Argonne v6' two-body potential and the repulsive part of the UIX potential are in good agreement with those obtained by auxiliary field diffusion Monte Carlo calculations.

    Original languageEnglish
    Article number012025
    JournalJournal of Physics: Conference Series
    Volume529
    Issue number1
    DOIs
    Publication statusPublished - 2014

    Fingerprint

    tensors
    functionals
    energy
    neutrons
    distribution functions
    healing
    free energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Explicit energy functional for infinite nuclear matter with the tensor force. / Takano, Masatoshi; Kato, K.; Yamada, M.

    In: Journal of Physics: Conference Series, Vol. 529, No. 1, 012025, 2014.

    Research output: Contribution to journalArticle

    @article{ddab5a1107164f9ab91ec12437cd4e76,
    title = "Explicit energy functional for infinite nuclear matter with the tensor force",
    abstract = "We have applied the variational method using explicit energy functionals (EEFs) to energy calculations of infinite nuclear matter. In EEFs, the energy per nucleon is explicitly expressed with spin-isospin-dependent two-body distribution functions, which are regarded as variational functions, and fully minimized energies are conveniently calculated with the EEF. A remarkable feature of this approach is that EEFs guarantee non-negativeness of structure functions. In this study, we extend the EEF variational method so as to consider state- independent three-body forces for neutron matter at finite temperatures following the procedure proposed by Schmidt and Pandharipande. For neutron matter, the free energies obtained with the Argonne v4' two-body potential and the repulsive part of the Urbana IX (UIX) three- body potential are quite reasonable. Furthermore, we improve the EEF of nuclear matter using the two-body central and tensor forces by considering the main three-body cluster terms and guaranteeing non-negativeness of tensor structure functions. In addition, healing distances are introduced for two-body distribution functions so that Mayer's condition is satisfied. The obtained energies per neutron of neutron matter with the Argonne v6' two-body potential and the repulsive part of the UIX potential are in good agreement with those obtained by auxiliary field diffusion Monte Carlo calculations.",
    author = "Masatoshi Takano and K. Kato and M. Yamada",
    year = "2014",
    doi = "10.1088/1742-6596/529/1/012025",
    language = "English",
    volume = "529",
    journal = "Journal of Physics: Conference Series",
    issn = "1742-6588",
    publisher = "IOP Publishing Ltd.",
    number = "1",

    }

    TY - JOUR

    T1 - Explicit energy functional for infinite nuclear matter with the tensor force

    AU - Takano, Masatoshi

    AU - Kato, K.

    AU - Yamada, M.

    PY - 2014

    Y1 - 2014

    N2 - We have applied the variational method using explicit energy functionals (EEFs) to energy calculations of infinite nuclear matter. In EEFs, the energy per nucleon is explicitly expressed with spin-isospin-dependent two-body distribution functions, which are regarded as variational functions, and fully minimized energies are conveniently calculated with the EEF. A remarkable feature of this approach is that EEFs guarantee non-negativeness of structure functions. In this study, we extend the EEF variational method so as to consider state- independent three-body forces for neutron matter at finite temperatures following the procedure proposed by Schmidt and Pandharipande. For neutron matter, the free energies obtained with the Argonne v4' two-body potential and the repulsive part of the Urbana IX (UIX) three- body potential are quite reasonable. Furthermore, we improve the EEF of nuclear matter using the two-body central and tensor forces by considering the main three-body cluster terms and guaranteeing non-negativeness of tensor structure functions. In addition, healing distances are introduced for two-body distribution functions so that Mayer's condition is satisfied. The obtained energies per neutron of neutron matter with the Argonne v6' two-body potential and the repulsive part of the UIX potential are in good agreement with those obtained by auxiliary field diffusion Monte Carlo calculations.

    AB - We have applied the variational method using explicit energy functionals (EEFs) to energy calculations of infinite nuclear matter. In EEFs, the energy per nucleon is explicitly expressed with spin-isospin-dependent two-body distribution functions, which are regarded as variational functions, and fully minimized energies are conveniently calculated with the EEF. A remarkable feature of this approach is that EEFs guarantee non-negativeness of structure functions. In this study, we extend the EEF variational method so as to consider state- independent three-body forces for neutron matter at finite temperatures following the procedure proposed by Schmidt and Pandharipande. For neutron matter, the free energies obtained with the Argonne v4' two-body potential and the repulsive part of the Urbana IX (UIX) three- body potential are quite reasonable. Furthermore, we improve the EEF of nuclear matter using the two-body central and tensor forces by considering the main three-body cluster terms and guaranteeing non-negativeness of tensor structure functions. In addition, healing distances are introduced for two-body distribution functions so that Mayer's condition is satisfied. The obtained energies per neutron of neutron matter with the Argonne v6' two-body potential and the repulsive part of the UIX potential are in good agreement with those obtained by auxiliary field diffusion Monte Carlo calculations.

    UR - http://www.scopus.com/inward/record.url?scp=84906706974&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84906706974&partnerID=8YFLogxK

    U2 - 10.1088/1742-6596/529/1/012025

    DO - 10.1088/1742-6596/529/1/012025

    M3 - Article

    AN - SCOPUS:84906706974

    VL - 529

    JO - Journal of Physics: Conference Series

    JF - Journal of Physics: Conference Series

    SN - 1742-6588

    IS - 1

    M1 - 012025

    ER -