Baryon-Lepton Correspondence and Weak Interaction

概要

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On the basis of the baryon-lepton correspondence and the three-triplet or -quarter model of hadrons, we extend SU_M(2) as the symmetry in the leptonic world to SU(3)" and Propose a new model of the weak intrtaction which is SU(3)"-invariant. It is assumed that matrix elements of the charged hadronic currents J_ρ(ν^^-_ll) between ordinary hadron states are the same as those of the Cabibbo current, where J_ρ(ν^^-_ll) represents a current which couples to the leptonic current l^^-γ_ρ(1-γ_5)ν_l ; l=e,μ. Generalized Adler- and Gross-Smith-type sum rules are derived above the charm and the colour thresholds. Four possible schemes due to charge assignments to the fourth member in the quarter model are taken into consideration, and discriminations to the fourth member in the quarter model are taken into consideration, and discriminations of them are discussed. It is pointed out that the four schemes are grouped into two, between which characteristic differences in observed quantities of ν(ν^^-)-N reactions exist. This depends on the (V, A) character of the weak current and the assumption on incident neutrino helicity, and is independent of concrete forms of J_ρ(ν^^-_ll).
理論物理学刊行会の論文
1976-02-25