Dynamical Structure of Mass Matrix of K^0_<->K^^-^0 Complex
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概要
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Dynamical structure of mass matrix of K^0_<->K^^-^0 complex is examined in terms of combined contributions from a direct ΔS=2 interaction (the super weak model, if it exists), pseudoscalar meson poles and 2π continuum with both CP conservation and non conservation but with CPT invariance. Numerical calculations are performed explicitly on these contributions based on as realistic model as possible. For the contributions from the second order effect of ΔS=1 interaction, we assumed an unsubtracted dispersion relation for the self-energy function. Assumptions made in calculation of 2π state contribution are: (i) no intrinsic structure for vertices of the weak interaction other than that of ππ scattering, (ii) constant CP phases for the vertices with ΔS=1 transition, and (iii) introduction of a cutoff ν_c=45 in the dispersion integral. Our main conclusions are the following: (a) To get a correct sign and magnitude for δm(L-S), mass difference of K_L and K_S, the phase shift for I=J=0, ππ scattering involving a resonance with mass≅700MeV-1BeV is favourable. This situation is unaltered when we take into account the pole contributions from mesons of either an octet or a nonet multiplets. Our best fit solution with the world data for δ_0 involving a resonance with mass≅720MeV yields the result δm(L-S)/(1/2Γ_S)≅3.1, which is brought into a good agreement with the observed value≅1 by combining with the pole contribution which is≅-1.9. (b) CP violation in the pseudoscalar meson poles with a milli weak strength gives rise to a correct order of magnitude for Re ε and a phase of about 43° for a CP mixing parameter ε. The 2π state contribution to ε is shown to be negligibly small. (c) Possible CP violating models are examined; if experiment manifests η_<+->=η_<00> in the Wu-Yang parameters, it means the validity of the super weak model as quite well as a milli weak CP violation both in the K^0⟷meson vertex but of a deci weak CP violation for the K^0-2π vertex. Thus our models are different from the Truong model. Finally an argument is given for neglecting the higher configuration state contributions and also for a possible Hamiltonian model with a milli weak CP violation.
- 理論物理学刊行会の論文
- 1971-01-25
著者
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WATANABE Keiji
Department of Engineering, Yamagata University
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Nakagawa Masami
Department Of Civil Engineering Tohoku University
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Nakagawa Masami
Department Of Physics Nagoya University
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NAKAGAWA Masami
Department of Physics, Nagoya University
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WATANABE Keiji
Department of Physics, Nagoya University
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