On Nonleptonic Decays : Interrelation among Various Types of Effective Weak Interactions

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概要

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• Interrelation among effective weak Yukawa interactions and various types of two-body weak interactions is discussed, and the refinement of the pole approximation is given. For this purpose, relations among three assumptions are investigated. Assumption I proposed by Fujii and Terazawa leads to the soft-meson theorem, owing to which one can relate the strong scattering amplitudes (the strong vertices) to the weak vertices (the effective two-dody weak interactions), and octet-spurion formalism and tadpole model are derived. The decupletbaryon-pole contributions to the hyperon decays are estimated in accordance with Assumption I and are shown to be relatively small. Relation of the effective two-body transition defined by using appropriate neutral currents j_<α^(7)> and j_<5α^<(7)>> (Assumption II) to the scalar- and psuedoscalar densities is discussed. It is shown first that the effective two-body transition derived from Assumption II can be regarded as approximately proportional to the scalar- and pseudoscalar densities with appropriate SU(3)-transformation properties, and secondly that, using the F-type vector current, one can obtain favourable values for the ratios of coupling constants of the effective two-body weak transition. In the framework of the pole approximation, when one combines Assumption I (or Assumption III-approximate Goldberger-Treiman relation) with Assumption II one can obtain the relations derived from Assumption III (or I). As a result, it is shown that the relation [numerical formula] holds for any n (decay mode) and ξ (F/D-ratio of strong meson-baryon ps(ps) interaction) ~^^~(0.5~0.6), where A_V(n), A_S(n), and A_B(n) mean the S-wave hyperon decay amplitudes due to the K^^-, k^^--and baryon-poles, respectively and d and e are constants. Numerical valuesof d and e and the scalar (pseudoscalar) spurion coupling, <k_<1^0>>_0 (<K_<1^0>>_0), depend upon the model of S-wave meason-baryon scattering The inequality [numerical formula] holds generally, irrespective of the magnitude of S-wave damping. Without the S-wave damping, one cannot reproduce the K_<1^0>→2π probability in the framework of meson^pole approximation.

• 理論物理学刊行会の論文
• 1967-08-25

著者

• Tsuchida Tetsuya

  Department Of Physics Ibaraki University

• Fujii Kanji

  Institute Of Physics Hokkaido University

• Kawasaki Shoichiro

  Department Of Physics College Of Arts And Science Chiba University

• Kawasaki Shoichiro

  Department Of Physics Chiba University

• FURUI Shin-ya

  Department of Physics, Ibaraki University

• IMOTO Mitsuo

  Department of Physics, College of Science and Engineering Nihon University

• Furui Shin-ya

  Department Of Physics Ibaraki University

• Imoto Mitsuo

  Department Of Physics And Atomic Energy Research Institute College Of Science And Engineering Nihon

• Tsuchida Tetsuya

  Department Of Dermatology Saitama Medical University

• Tsuchida Tetsuya

  Department Of Dermatology Saitama Medical School

• KAWASAKI Shoichiro

  Department of Physics, College of Arts and Sciences Chiba University

• FUJII Kanji

  Institute for Nuclear Study, University of Tokyo : Department of Physics, Faculty of Science, Hokkaido University

• TSUCHIDA Tetsuya

  Department of Physics, Faculty of Science, Hokkaido University

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