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Prog. Theor. Phys. Vol. 13 No. 4 (1955) pp. 367-379

On the Competition between Decay and Capture of the Unstable Particles due to the Weak Interactions

Shuzo Ogawa

Institute of Theoretical Physics, Nagoya University, Nagoya

(Received October 9, 1954)

Abstract:

In the transmutation processes of the unstable particles, some universal interactions seem to be recoginized. In this note we examine the competition caused by these interactions between the decay and the nuclear capture of the unstable particles, when they stop in dense material. The competition is also investigated by the use of the assumed interactions in the case where the unstable particle is known to decay into π-mesons, though we have got little information on the nature of its interactions. It is found that negatively charged τ-meson, when brought into K-orbit of the heavy nucleus, is very likely to be absorbed by the nucleus decaying.
It is also noted that there is a certain correlation among the numerical values of the coupling constants of the weak interactions above introduced.

URL : http://ptp.ipap.jp/link?PTP/13/367/
DOI : 10.1143/PTP.13.367

[ Full Text PDF : FREE ACCESS (1092K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. S. Ogawa, H. Okonogi and S. Ōneda, Prog. Theor. Phys. 11 (1954), 330[PTP].
   K. Iwata, S. Ogawa, H. Okonogi, B. Sakita and S. Ōneda, Prog. Theor. Phys. 13 (1954), 19[PTP].
2. Numerical values in references (1), page 331 are erroneous.
3. If we take pseudovector coupling between π-meson and nucleon, we obtain good fit with experiment using G²(pv)∼1.
   For instance, see M. Taketani, S. Nakamura, K. Ono and M. Sasaki, Phys. Rev. 76 (1949), 60[APS].
4. See, for instance, E. Caianiello, Nuovo Cim. 10 (1953), 43.
5. N. Dallaporta, Nuovo Cim. 11 (1954), 82.
6. D. C. Peaslee, Phys. Rev. 91 (1953), 1447[APS].
7. J. A. Wheeler, Rev. Mod. Phys. 21 (1949), 133[APS].
8. E. Fermi and E. Teller, Phys. Rev. 72 (1947), 399[APS].
9. See, for Fermi interaction, S. Tanaka and M. Ito, Prog. Theor. Phys. 9 (1953), 169, [PTP]and for τ-meson decay, Fukuda, Hayakawa and Miyamoto, Prog. Theor. Phys. 5 (1950), 283[PTP].
   Sasaki, Ōneda and Ozaki, Prog. Theor. Phys. 5 (1950), 25[PTP].
10. M. L. Goldberger, 4th Rochester conference.
11. R. J. Finkelstein, Phys. Rev. 88 (1952), 555[APS].
12. E. Fermi and C. N. Yang, Phys. Rev. 76 (1949), 1739[APS].
13. L. Michel, Proc. Phys. Soc. 63 (1950), 514.
    Our sign in g₂ and g₅ is inverted to his.

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9. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 2092-2105 :

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