A Phenomenological Model for π and K Meson Decays

概要

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A phenomenological model for π- and K-meson semi-leptonic decays is proposed. An effective Lagrangian is constructed. This structure is expressed by the effective strong interaction Lagrangian except for one overall coupling constant which characterizes weak interaction. It is found that the strength of weak interaction is smaller than that of strong interaction by an order 10^<-7> and is also found that the two Cabibbo angles characteristic of the vector (θ_V) and axial vector (θ_A) currents are determined by the pseudovector coupling constants f_π and f_K and g_A/g_V ratios for πN and KN scattering, namely tanθ_A=(f_K)/(f_π)(m_π)/(m_K) and tanθ_V=((g_V)/(g_A)_<KN>)/((g_V)/(g_A)_<πN>)tanθ_A These relations are compared favorably with experiment. It is predicted that the probability of the strangeness conserving neutral K-meson decay, K^^-^0→K^-+e^++ν_e, is two orders of magnitude lower than that of the Cabibbo theory. Finally, relation of π- and K-meson masses to the coupling constants of strong and weak interactions is also discussed.
一般社団法人日本物理学会の論文
1968-03-25