An Application of SU_3 Group to the Theory of Weak Interactions
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概要
- 論文の詳細を見る
A theory of strong and weak interactions is proposed. Strong interactions are assumed to be invariant under an SU_3 group G_s and Gell-Mann's scheme is adopted for baryons. Weak interactions are postulated to be invariant under an SU_3 group (or an U_3 group) G_w which is closely related to the group G_s. Invariance under the CR-conjugation is required for both strong and weak interactions. The vector and axial-vector part of baryon currents are then determined to be of F- and D-type, respectively. Consequently, i) the vector parts of baryon currents are conserved and ii) the coupling between pseudoscalar octet bosons and baryons is of D-type, if Goldberger-Treiman relation holds. It is shown that a special case of our theory is partly equivalent to a Cabibbo's model. The general theory of gauge transformation is applied to this model using a pair of spurions of an SU_3 group and intermediary mesons. Accordingly, δS/δQ=-1 transitions do not exist. As a hopeful example, a nine-fold way of leptons is proposed where weak interactions are quite symmetrical in baryonic and leptonic multiplicities. This model requires the existence of four new leptons (two charged and two neutral) with non-zero mass and several intermediary mesons. The charged new leptons decay rapidly and, consequently, the detection of these new leptons is difficult at present time. The δS=0 and δS/δQ=1 interactions are of "scalar" coupling and of "vector" coupling for the group G_w respectively. It is shown that δS/δQ=-1 transitions can also be present in this model as an interaction of "vector" coupling for the group G_w.
- 理論物理学刊行会の論文
- 1964-11-25
著者
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NAKAMURA Hiroshi
Department of Analytical Chemistry, Faculty of Pharmaceutical Sciences, Science University of Tokyo
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KANASUGI Hirotaka
Department of Physics, Tokyo Institute of Technology
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Kanasugi Hirotaka
Department Of Physics Tokyo Institute Of Technology
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Nakamura Hiroshi
Department Of Analytical Chemistry Faculty Of Pharmaceutical Sciences Science University Of Tokyo
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