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Prog. Theor. Phys. Vol. 10 No. 3 (1953) pp. 245-251

Correction to the Beta-decay Nuclear Matrix Elements

Masami Yamada

Department of Physics, Faculty of Science, Tokyo University

(Received July 1, 1953)

Abstract:

In the traditional theory of β-decay, the radial parts of the eigenfunctions of the electron which are divided by r^l (l's are orbital angular momenta) are put out of the integral symbols replacing r by ρ (nuclear radius), and the remaining integrals are arranged as nuclear matrix elements. In the presence of the Coulomb field, however, some of them deviate from constants appreciably in the nucleus, and it is hard to put them out of the integrals. In this paper the correction factors which include these eigenfunctions in the integral symbols are given, and it is discussed how much difference from the old theory is produced.

URL : http://ptp.ipap.jp/link?PTP/10/245/
DOI : 10.1143/PTP.10.245

[ Full Text PDF : FREE ACCESS (480K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 10 No. 3 (1953) pp. 252-264 :

   Theoretical Reinvestigation of the β-spectrum of RaE

   Masami Yamada

2. Progress of Theoretical Physics Vol. 10 No. 5 (1953) pp. 518-524 :

   Upper Bound of the Pseudoscalar Coupling Constant in Beta-decay

   Jun-ichi Fujita and Masami Yamada

3. Progress of Theoretical Physics Vol. 10 No. 6 (1953) pp. 630-640 :

   β-spectra of Fe⁵⁹, Rb⁸⁷, Tc⁹⁹, Cs¹³⁷ and the Coupling Constants of Scalar and Tensor Interactions in β-decay

   Masato Morita, Jun-ichi Fujita and Masami Yamada

4. Progress of Theoretical Physics Vol. 11 No. 2 (1954) pp. 219-223 :

   β-γ Angular Correlation of Tm¹⁷⁰

   Jun-ichi Fujita, Masato Morita and Masami Yamada

5. Progress of Theoretical Physics Vol. 12 No. 5 (1954) pp. 561-573 :

   Beta-ray Spectra, I

   Hisao Takebe

6. Progress of Theoretical Physics Vol. 19 No. 3 (1958) pp. 285-329 :

   Formulas in the Fermi Theory of Beta-Decay, I

   Zyun-itiro Matumoto and Masami Yamada

7. 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

8. Progress of Theoretical Physics Vol. 23 No. 4 (1960) pp. 531-561 :

   Formulas in the Fermi Theory of Beta Decay. II

   Zyun-itiro Matumoto

9. Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1466-1492 :

   Gross Theory of First Forbidden β-Decay

   Kohji Takahashi

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