A Field Theory of Elementary Particles with S_3 Invariance

概要

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A field theory of elementary particles is presented and examined with the following assunptions: (I) There are three basic fermion fields. (II) Three fields are described by nonlinear equations with symmetry of their permutation. (III) They obey a regularized quantization with a single constant. The 0-nonet meson and 1 / 2-octet baryon are assumed as the composite systems of three basic fields. Their mass eigenvalues and the effective coupling constants are calculated. The results are i) the coupling constants of nonlinear. terms with V-A form l^2_0=0.31(4π / κ)^2, l^2_1=0.06(4π / κ)^2 and l^2_2=0, ii) 0-meson masses μ_π, μ_κ(fixed), μ_η=0.62_κ and μ_x=1.04_k, iii) 1 / 2-baryon masses κΝ=κ(fixed), κΛ=1.05κ, κΣ=1.06κ and μΞ=1.07κ and iv) the effective coupling constants g^2_<ΝΝπ> / 4π=12.4, g^2_ΝΝη / 4π=3×11.0, g^2ΝΝX / 4π=6×5.8 and 0⩽g^2ΝΣK / 4π⩽11.3, 0⩽g^2Ν∧K / 4π⩽3×11.3 and others, showing the purely F-coupling features.
理論物理学刊行会の論文
1966-12-00