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Prog. Theor. Phys. Vol. 19 No. 3 (1958) pp. 285-329

[ Full Text PDF : FREE ACCESS (2943K) ]

Formulas in the Fermi Theory of Beta-Decay, I

— Beta-Spectrum —

Zyun-itiro Matumoto and Masami Yamada*

Department of Physics, Faculty of Science, University of Tokyo, Tokyo
*Nuclear Data Group, National Research Council, Washington, D. C., U. S. A.

(Received October 28, 1957)

Abstract:

β-spectra are calculated by assuming the Fermi theory. All the effects due to the finiteness of the nuclear size are taken into account in an analytical form, and the screening effect by atomic electrons are included as additional factors though their values are not gien explicitly. In §2 the electron wave functions are calculated and in §3 they are applied to get the correction factors for β-spectra. The mixed type interaction consisting of scalar, tensor and pseudoscalar is especially examined in detail. The final formulas are similar to those for light nuclei of Konopinski and Uhlenbeck. There is a difference, however, which lies in the fact that several “effective nuclear radii” are used in our formulas instead of the usual nuclear radius. Special attention is paid to the errors in our formulas, which seem to be inevitable from the practical view-point, and also to the insensitivity of the β-spectra to the nuclear charge distribution.


URL : http://ptp.ipap.jp/link?PTP/19/285/
DOI : 10.1143/PTP.19.285

[ Full Text PDF : FREE ACCESS (2943K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 20 No. 3 (1958) pp. 287-307 :
    Parity Nonconservation and the Beta-Spectrum of RaE
    Jun-Ichi Fujita, Masami Yamada, Zyun-Itiro Matumoto and Seitaro Nakamura
  2. Progress of Theoretical Physics Vol. 20 No. 5 (1958) pp. 643-689 :
    The First Forbidden β-Decay
    Tsuneyuki Kotani and Marc Ross
  3. Progress of Theoretical Physics Vol. 23 No. 4 (1960) pp. 531-561 :
    Formulas in the Fermi Theory of Beta Decay. II
    Zyun-itiro Matumoto
  4. Progress of Theoretical Physics Vol. 41 No. 6 (1969) pp. 1470-1503 :
    Gross Theory of Nuclear β-Decay
    Kohji Takahashi and Masami Yamada
  5. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 663-688 :
    Gross Theory of β-Decay and Its Application to the Fermi Matrix Element
    Shin-Ichiro Koyama, Kohji Takahashi and Masami Yamada
  6. Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1466-1492 :
    Gross Theory of First Forbidden β-Decay
    Kohji Takahashi
  7. Progress of Theoretical Physics Vol. 46 No. 5 (1971) pp. 1637-1639 :
    Finite-Nuclear-Size Effect on the Gross Theory of First-Forbidden β-Decay
    Kohji Takahashi, Harunori Takeda and Masami Yamada

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