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Prog. Theor. Phys. Vol. 28 No. 2 (1962) pp. 323-337

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Theory of Leptons

Seitaro Nakamura* and Shigeo Sato**

*Department of Physics, University of Tokyo, Tokyo
**Department of Physics, Rikkyo University, Tokyo

(Received March 19, 1962)

Abstract:

Leptons and baryons are considered two states of one particle (fermion), multiplets for leptons being assumed to follow the pattern of those for baryons, that is, two kinds of neutrinos are assumed, each constituting a neutral component of muon doublet and electron doublet, respectively. A Hamiltonian of the weak interaction between the fermions and the intermediary mesons is introduced which is symmetric in the four-dimensional 'super-charge' (κ-λ) space. This leads to the two selection rules, one is Δλ3 = 0 which denotes the conservation laws for the baryon number and for the lepton number, and the other Δκ3 = 0 which enables us to exclude the majority of the neutral currents for leptons. Besides the symmetric interaction of the Yukawa type through the intermediary mesons, the six-body couplings ππe ννν, ππµννν, Kπe ννν, and Kπµννν through the boson isobars are introduced which obey Δλ3 = 0 and Δκ3 = 0. The Langer effect of the β-ray spectrum and the charge asymmetry of the decay of the neutral kaons in the Ke3 mode are explained in terms of the competitive channels of the I. M. process and of the six-body couplings. The effects on the inverse β-decay and the inverse muon are also discussed.


URL : http://ptp.ipap.jp/link?PTP/28/323/
DOI : 10.1143/PTP.28.323

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 29 No. 2 (1963) pp. 325-328 :
    Theory of the Intermediary Mesons
    Seitaro Nakamura and Shigeo Sato
  2. Progress of Theoretical Physics Vol. 30 No. 2 (1963) pp. 207-213 :
    Theory of Weak Interactions between Baryon and Pion
    Seitaro Nakamura
  3. Progress of Theoretical Physics Vol. 31 No. 1 (1964) pp. 115-125 :
    An Approach to the Non-Leptonic Decays of Hyperons
    Ziro Maki and Masami Nakagawa
  4. Progress of Theoretical Physics Vol. 31 No. 6 (1964) pp. 1109-1126 :
    Weak Interaction of Leptons
    Seitaro Nakamura and Yoshio Nishiyama
  5. Progress of Theoretical Physics Vol. 33 No. 2 (1965) pp. 290-306 :
    Intermediate Boson Theory in the Super-Weak Coupling with Neutrino
    Seitaro Nakamura and Kunio Itami
  6. Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 638-648 :
    Decays of Mesons into Lepton Pairs and Deviation from e-µ Universality
    Yoshio Koide

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