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Prog. Theor. Phys. Vol. 35 No. 3 (1966) pp. 528-539

Inner Symmetry in Baryon Structures and Leptonic Decays

Tsunehiro Kobayashi,^* Shigeru Machida,^** Masami Nakagawa,^*** Mikio Namiki^* and Ichiro Ohba^*

^*Department of Physics, Waseda University, Tokyo
^**Department of Physics, Rikkyo University, Tokyo
^***Department of Physics, Nagoya University, Nagoya

(Received October 29, 1965)

Abstract:

Under the assumption that the baryon is composed of three subnuclear particles in a nonrelativistic bound state analogous to the nuclear structure, the possible inner symmetries of the baryon structure are discussed by comparing with some characteristic features of the leptonic decays, such as n → p and Λ→ p. First, under the charge independence, the characteristic parameters of the neutron β decay are expressed in terms of the nucleon structure constants. By comparing the parameters with experiments, it is concluded that the totally symmetric spin-unitary spin part is dominant in the nucleon structure. This is true in the baryon structures in the SU₃ symmetric case. Under the SU₃ invariance, the following relation between the β decays of neutron and Λ particle is also derived: (G_A/G_V)_{Λ→ p} = (1/2) × (G_A/G_V)_{n → p} -1/6 ≃ -0.76, where (G_A/G_V)_{n → p} ≃ -1.185 is used. The broken SU₃ symmetry is estimated by making use of the existing experiments on the β decay of Λ particle. Finally the decay rates for various leptonic decays are obtained from the theoretical values, F ≃ 0.55 and D ≃ 0.65, determined by the experimental value of (G_A/G_V)_{n → p} in the SU₃ symmetry case of the present theory. The results are consistent with the experiments.

URL : http://ptp.ipap.jp/link?PTP/35/528/
DOI : 10.1143/PTP.35.528

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References:

1. Y. Kinoshita, T. Kobayashi, S. Machida and M. Namiki (to be published).
2. G. Zweig, CERN preprint (1964).
   M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
3. A. N. Sosnovskii, P. E. Spivak, Iu. A. Prokof'ev, I. E. Kutikov and Iu. P. Dobrynin, Zh. Eksp. Theor. Fiz. 35 (1958), 1059 (translation: Sov. Phys. -JETP 8 (1959), 739).
   F. T. Porter, Phys. Rev. 115 (1959), 450[APS].
   R. J. Blin-Stoyle, Proceedings of the Rutherford Jubilee International Conference, Manchester, 1961, edited by J. B. Birks (Heywood and Co., Ltd., London, 1962), p. 677.
4. R. P. Ely, G. Gidal, G. E. Kalmus, W. M. Powell, W. J. Singleton, C. Henderson, D. J. Miller and F. R. Stannard, Phys. Rev. 137 (1965), B 1302[APS].
5. H. Courant, H. Filthuth, P. Franzini, A. Minguzzi, A. Segar, R. Engelmann, V. Hepp, E. Kluge, R. A. Burnstein, T. B. Day, R. G. Glasser, A. J. Herz, B. Kehoe, B. Sechi-Zorn, N. Seeman, G. A. Snow and W. Willis, Phys. Rev. 136 (1964), B 1791[APS].
6. A. H. Rosenfeld et al., Rev. Mod. Phys. 36 (1964), 977[APS].
7. M. Yamada, private communication.
8. V. G. Lind, T. O. Binford, M. L. Good and D. Stern, Phys. Rev. 135 (1964), B 1483[APS].
   R. P. Ely, G. Gidal, G. E. Kalmus, L. O. Oswald et al., Phys. Rev. 131 (1963), 868[APS].
   and C. Baglin et al. (to be published).
9. H. H. Bingham, Talk presented to Royal Society Discussion on Leptonic Interactions, February 1964 (unpublished).
   and H. Ticho, Proceedings of the Sienna Conference on Elementary Particles, 1963, edited by G. Bernadini and G. P. Puppi (Societa' Italiana di Fisica, Bologna, 1963).

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