New Interpretation of Hyperonic Charge and its Generalization to Leptons
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All weak interactions are assumed to violate the conservation law of parity, contrary to the case of strong interactions. Such correlation between two conservation laws of parity and of hyperonic charge can be achieved by a new interpretation of hyperonic charge. The phenomenological hyperonic charge is expressed by the expectation value of a new operator ζ_2γ_5. Nucleon and Ξ-particle are assumed as the eigenstates of this operator, and two τ-spin doublets recombined from Λ-and Σ-particles are assumed as the eigenstates of ζ_3γ_5, which anticommutes with ζ_2γ_5. If we assign the suitable ζ-dependence to the tensor matrices associated with Κ- and π-mesons, we can arrive at the correlation mentioned above. In the course of the construction of our scheme, the problems of the so-called particle mixture, and of the particle image under the coexistence of the parity-conserving and nonconserving interactions are used as the stepping stones. The introduction of the new matrix ζ and the ζ-dependence of the tensor matrices associated with bosons allow us to assign the generalized hyperonic charge to leptons, and to exclude the unwanted processes, π→e+ν, (Κ→e+ν)and Ρ+μ→Ρ+e, owing to the assignment. The connection of our scheme and the interpretation that hyperonic charge can be understood as the parity in isotopic spin space suggests some internal correlation between the Minkowski space and the isotopic spin space. The possibility of such correlation is discussed. In Appendix, the spinor analysis in the six dimensional space, which partly reproduces our phenomenologically obtained results, is described as a tentative model.
- 理論物理学刊行会の論文
- 1958-11-25
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