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Prog. Theor. Phys. Vol. 49 No. 3 (1973) pp. 975-994

[ Full Text PDF : FREE ACCESS (1589K) ]

A Model of Weak Interaction Based on the Three-Triplet Model of Hadrons

Kanji Fujii, Mituaki Katuya, Seiji Okubo and Shin-ichiro Tamura

Department of Physics, Hokkaido University, Sapporo

(Received August 30, 1972)

Abstract:

Possible roles which the internal degrees of freedom in the three-triplet model of hadrons play in weak interactions are investigated. It is pointed out that, if we introduce a charged current Gρ,α(x) (ρ= index of Lorentz vector, α=1,…,4) of the so-called `double V-A' type which is a certain kind of charged current so extended as to carry the internal degrees of freedom contained in the three-triplet model, and assume that the weak interaction is HW=(G0/2√2)Gρ,α·G*ρ,α, then the |ΔI|=1/2 rule is derived for nonleptonic decays of ordinary hadrons (assumed to belong to the SU(3)''-singlet). The purely leptonic interaction obtained from HW contains `pseudo-diagonal' terms, (eνµ)(νµe) and (µνe)(νeµ), but not the so-called diagonal ones. From the semi-leptonic interaction one obtains four kinds of hadronic currents which couple to the electron-, muon-, (µνe)- and (eνµ)-currents, i.e., Wρ(e;x), Wρ(µ;x), Wρ(νeµ;x) and Wρ(νµe;x). These are different from each other, but, as far as one treats matrix elements between SU(3)''-singlet states, the former two of them give the same values and the latter two have no contributions under the assumption that the symmetry-breaking of strong interaction preserves the SU(3)''-symmetry. In this sense, the µ-e universality holds.
Various observable effects expected from our HW are investigated, in which are included properties of charm-nonconserving interaction, magnitude of the structure functions of deep inelastic neutrino reactions and so on.


URL : http://ptp.ipap.jp/link?PTP/49/975/
DOI : 10.1143/PTP.49.975

[ Full Text PDF : FREE ACCESS (1589K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 995-1006 :
    A Model of Weak Interaction Based on the Three-Triplet Model of Hadrons. II
    Shin-ichiro Tamura and Kanji Fujii
  2. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1675-1691 :
    Weak Interaction Based on the Three-Triplet Model
    Mituaki Katuya, Kanji Fujii and Shin-ichiro Tamura
  3. Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1794-1800 :
    Adler-Type Sum Rule, Charge Symmetry and Neutral Current in General Multi-Triplet Model
    Mituaki Katuya, Yoshimitsu Baba and Kanji Fujii
  4. Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1883-1884 :
    Iso-Tensor Component in the ΔS=0 Weak Process and |ΔI|=1/2 Rule
    Kazuo Koike
  5. Progress of Theoretical Physics Vol. 55 No. 2 (1976) pp. 567-578 :
    Baryon-Lepton Correspondence and Weak Interaction
    Yoshimitsu Baba, Seiji Ōkubo, Mituaki Katuya and Kanji Fujii
  6. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 998-1000 :
    Color-Octet Component of Weak Current and a Lepton-Hadron Correspondence
    Kazuo Koike
  7. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1849-1858 :
    New Vector-Like Model and Nonleptonic Decays of Ordinary and Charmed Hadrons
    Yoshikazu Abe, Kanji Fujii and Kazuhiro Sato

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