The Universal Interaction for Hyperon Non-Leptonic Decay and an Interpretation of the P-wave Problem
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概要
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The most suitable type of effective interaction for non-leptonic decay of octet baryons is chosen by semi-phenomenological requirements. A possible explanation for the p-wave problem is proposed, based on a critical discussion of current-algebraic results and of the pole approximation analogous to that in baryon-meson scatterings. First, we show the following phenomenological results. i) The derivative coupling of the ps-meson to the baryon,∂_μM-coupling, agrees best in the simplest way with experimental amplitudes both for the parity-violating and the parity-conserving parts. This means that the soft meson limit technique in current-algebraic calculation should cause missing terms, particularly serious in the p.c. part. ii) Only ∂_μM-coupling gives an approximate universality ; the effective coupling constant and their ratio between the p.v. and p.c. parts are very close to the β-decay coupling constant without Cabibbo's sin θ and g_A/g_V ratio, respectively. iii) B^^-γ_μB in the p.v. selected effective interaction makes an 8_f representation in SU_3, while B^^-γ_μγ_5B in the main term of the selected p.c. part consists of 1, 8d and 27 representations with a definite algebraic proportion but involves neither 10 nor 10. This requirement is more severe than the necessary condition pointed out by Rosen for the Sugawara-Lee relation. Then, based on the phenomenological results and critical discussion of current-algebra and of pole approximation, it is suggested that contributions to the p.c. amplitudes come mainly from direct-coupling terms, which have no analogy in the pole approximation of low energy baryon-meson scattering and also have been so far missing, due to their derivative type, in current-algebraic calculation within the soft-meson limit.
- 理論物理学刊行会の論文
- 1971-03-25
著者
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IMOTO Mitsuo
Department of Physics, College of Science and Engineering Nihon University
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Imoto Mitsuo
Department Of Physics And Atomic Energy Research Institute College Of Science And Engineering Nihon
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Imoto Mitsuo
Department Of Physics Ibaraki University : Scuola Normale Superiore
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Nakamura Katsuya
Department Of Physics And Atomic Energy Research Institute Nihon University
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Nakamura Katsuya
Department Of Physics College Of Science And Engineering Nihon University
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IMOTO Mitsuo
Department of Physics, Ibaraki University : Scuola Normale Superiore
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Nakamura Katsuya
Department of Medicine (Neurolgy and Rheumatology), Shinshu University School of Medicine
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