A Unitary Symmetric Spurion Formalism of Weak Interaction
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概要
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Roles played by the unitary symmetry in the weak interactions are investigated in the framework of a spurion formalism. By making use of spurions, currents of strongly interacting particles are constructed formally in octet form, and the interaction Hamiltonian is written in a form of current-current interaction, which is apparently invariant under the three-dimensional unitary group. Lepton current can be introduced in such a way that the transitions with |ΔS|=2 do not occur. Isotopic spin selection rule, |ΔI|=1/2, holds for nonleptonic decays of baryons, but in leptonic processes (|ΔI|=3/2)-transitions also occur, which lead to ΔS/ΔQ=-1. If one assumes that the vector current is conserved in the unitary-symmetry limit, only terms corresponding to (ΔS/ΔQ=1)-transitions are included in the vector current, and thus transitions with ΔS/ΔQ=-1 occur mainly through the axial-vector interaction. Further, if we assume that the weak interaction Hamiltonian is invariant under R-reflection, we can fix the relative strength among the most of weak coupling constants by comparing our results with the experimental values of leptonic decays of baryons and the decay ratio of K→μν-process to π→μν-one. Using these coupling constants, we have derived the following conclusions which are consistent with experiments ; (i) the leptonic decay probabilities of hyperons (|ΔS|=1) are about one-tenth of the probability of ordinary beta decay, (ii) Σ^+→nμ^+ν decay probability (ΔS/ΔQ=-1) is about one-tenth of that of leptonic decays of hyperons, and (iii) relative decay probabilities and asymmetric coefficients of nonleptonic decays of baryons are all consistent with experimental facts.
- 理論物理学刊行会の論文
- 1964-08-25
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