An Extension of Inversion with a Non-Abelian Group of Parity Tripod
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An extension of inversion (and therefore of the full group of inhomogeneous Lorentz transformations) with a non-Abelian group, group of parity tripod, is proposed (§2)l. It gives a foundation of the equation which was proposed by the present author several years ago (§3), and a correlation of the selection rule about hypercharge with the violation of the conservation law of parity. The expectation values of the two generators of the group of parity tripod are identified with hypercharge and K-mesonic charge. The empirical formulae for the strong interactions of pions and kaons and for the weak interactions of pions are tentatively expressed by the direct product group of the extended group with the isotopic spin group in the doublet description of baryons (§4). The results are very suyggestive to seek the intimate connection of the group of parity tripod with the isotopic spin group, although they cannot have the final forms.
- 理論物理学刊行会の論文
- 1965-12-25
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