Mass Differences and a Deformed Octet Axial Vector Current

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概要

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• In order to investigate the mass differences of the octet 1/2^+ baryons and the 0^- mesons and the weak leptonic interactions in a unified way, we introduce an octet axial vector current which is deformed in the direction of the hypercharge axis in the SU(3) space and is assumed to be generated from the strong Lagrangian with breakdown of the symmetry. This is an extension of some ideas of Gell-Man and Levy, Nambu and Gursey. In the lowest order perturbation method, the baryon and the meson mass splittings are derived from the Lagrangian in a consistent way within the order of the electromagnetic mass differences, and a plausible value, 2.412, of d/f is obtained. The deformation of the Lagrangian induces the deviation of G_A/G_V from unity observed in beta decay on the basis of a modified Cabibbo scheme with the angle θ_A=θ_V. The effective Cabibbo angle θ_<A'> is given by θ_<A'>=tan^<-1> (0.80 tanθ_A and θ_A is determined to be 0.32 from the lepton pair decays of meson. Modified G-T relations are proposed.

• 理論物理学刊行会の論文
• 1966-06-25

著者

• Koyama H.

  Department of Physics, Osaka University

関連論文

• Parity Violating Amplitudes for Nonleptonic Hyperon Decays
• Mass Differences and a Deformed Octet Axial Vector Current

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