Formulas in the Fermi Theory of Beta-Decay, I : Beta-Spectrum

概要

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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 given 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.
理論物理学刊行会の論文
1958-03-25