Configuration mixing and the effects of distributed nuclear magnetization on hyperfine structure in odda nuclei

H. H. Stroke, R. J. Blin-Stoyle, V. Jaccarino

    Research output: Contribution to journalArticle

    Abstract

    The theory of Blin-Stoyle and of Arima and Horie, in which the deviations of the nuclear magnetic moments from the single-particle model Schmidt limits are ascribed to configuration mixing, is used as a model to account quantitatively for the effects of the distribution of nuclear magnetization on hyperfine structure (Bohr-Weisskopf effect). A diffuse nuclear charge distribution, as approximated by the trapezoidal Hofstadter model, is used to calculate the required radial electron wave functions. A table of single-particle matrix elements of R2 and R4 in a Saxon-Woods type of potential well is included. Explicit formulas are derived to permit comparison with experiment. For all of the available data satisfactory agreement is found. The possibility of using hyperfine structure measurements sensitive to the distribution of nuclear magnetization in a semiphenomenological treatment in order to obtain information on nuclear configurations is indicated.

    Original languageEnglish (US)
    Pages (from-to)1326-1348
    Number of pages23
    JournalPhysical Review
    Volume123
    Issue number4
    DOIs
    StatePublished - 1961

    Fingerprint

    hyperfine structure
    magnetization
    nuclei
    configurations
    charge distribution
    magnetic moments
    wave functions
    deviation
    matrices
    electrons

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Configuration mixing and the effects of distributed nuclear magnetization on hyperfine structure in odda nuclei. / Stroke, H. H.; Blin-Stoyle, R. J.; Jaccarino, V.

    In: Physical Review, Vol. 123, No. 4, 1961, p. 1326-1348.

    Research output: Contribution to journalArticle

    Stroke, H. H. ; Blin-Stoyle, R. J. ; Jaccarino, V. / Configuration mixing and the effects of distributed nuclear magnetization on hyperfine structure in odda nuclei. In: Physical Review. 1961 ; Vol. 123, No. 4. pp. 1326-1348.
    @article{288313277e6c4b3c8c99943841132b95,
    title = "Configuration mixing and the effects of distributed nuclear magnetization on hyperfine structure in odda nuclei",
    abstract = "The theory of Blin-Stoyle and of Arima and Horie, in which the deviations of the nuclear magnetic moments from the single-particle model Schmidt limits are ascribed to configuration mixing, is used as a model to account quantitatively for the effects of the distribution of nuclear magnetization on hyperfine structure (Bohr-Weisskopf effect). A diffuse nuclear charge distribution, as approximated by the trapezoidal Hofstadter model, is used to calculate the required radial electron wave functions. A table of single-particle matrix elements of R2 and R4 in a Saxon-Woods type of potential well is included. Explicit formulas are derived to permit comparison with experiment. For all of the available data satisfactory agreement is found. The possibility of using hyperfine structure measurements sensitive to the distribution of nuclear magnetization in a semiphenomenological treatment in order to obtain information on nuclear configurations is indicated.",
    author = "Stroke, {H. H.} and Blin-Stoyle, {R. J.} and V. Jaccarino",
    year = "1961",
    doi = "10.1103/PhysRev.123.1326",
    language = "English (US)",
    volume = "123",
    pages = "1326--1348",
    journal = "Physical Review",
    issn = "0031-899X",
    publisher = "American Institute of Physics Publising LLC",
    number = "4",

    }

    TY - JOUR

    T1 - Configuration mixing and the effects of distributed nuclear magnetization on hyperfine structure in odda nuclei

    AU - Stroke, H. H.

    AU - Blin-Stoyle, R. J.

    AU - Jaccarino, V.

    PY - 1961

    Y1 - 1961

    N2 - The theory of Blin-Stoyle and of Arima and Horie, in which the deviations of the nuclear magnetic moments from the single-particle model Schmidt limits are ascribed to configuration mixing, is used as a model to account quantitatively for the effects of the distribution of nuclear magnetization on hyperfine structure (Bohr-Weisskopf effect). A diffuse nuclear charge distribution, as approximated by the trapezoidal Hofstadter model, is used to calculate the required radial electron wave functions. A table of single-particle matrix elements of R2 and R4 in a Saxon-Woods type of potential well is included. Explicit formulas are derived to permit comparison with experiment. For all of the available data satisfactory agreement is found. The possibility of using hyperfine structure measurements sensitive to the distribution of nuclear magnetization in a semiphenomenological treatment in order to obtain information on nuclear configurations is indicated.

    AB - The theory of Blin-Stoyle and of Arima and Horie, in which the deviations of the nuclear magnetic moments from the single-particle model Schmidt limits are ascribed to configuration mixing, is used as a model to account quantitatively for the effects of the distribution of nuclear magnetization on hyperfine structure (Bohr-Weisskopf effect). A diffuse nuclear charge distribution, as approximated by the trapezoidal Hofstadter model, is used to calculate the required radial electron wave functions. A table of single-particle matrix elements of R2 and R4 in a Saxon-Woods type of potential well is included. Explicit formulas are derived to permit comparison with experiment. For all of the available data satisfactory agreement is found. The possibility of using hyperfine structure measurements sensitive to the distribution of nuclear magnetization in a semiphenomenological treatment in order to obtain information on nuclear configurations is indicated.

    UR - http://www.scopus.com/inward/record.url?scp=36149023690&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=36149023690&partnerID=8YFLogxK

    U2 - 10.1103/PhysRev.123.1326

    DO - 10.1103/PhysRev.123.1326

    M3 - Article

    VL - 123

    SP - 1326

    EP - 1348

    JO - Physical Review

    JF - Physical Review

    SN - 0031-899X

    IS - 4

    ER -