Low-Energy Limit Theorems and Dispersion Relations

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概要

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• Low-energy limit behaviour of various collision processes is re-investigated from the dispersion theoretic point of view, which turns out to be a powerful approach for obtaining low-energy limit theorems. Some low-energy limit theorems for the processes involving collisions of a boson with a fermion are obtained, using this method. It is shown that for pion-baryon scattering, certain isotopic spin combinations of the P-wave spin-flip amplitudes satisfy simple low-energy limit theorems. In particular, for pion-nucleon scatering, isotopic even part of the P-wave spin-flip amplitude is shown to be simply related to the renormalized pion-nucleon coupling constant, from which the magnitude of the coupling constant can be determined: f^2/4π=0.09±0.02. It is also shown that this determination is insensitive to the presence of (3, 3) resonance and a possible T=J=1 pion-pion resonance.

• 理論物理学刊行会の論文
• 1961-05-25

著者

• Kawarabayashi Ken

  Department Of Physics Facult Of Science University Of Tokyo

関連論文

• A Remark on the Anomalous Magnetic Moment in the Static Model
• Electromagnetic Structure of the Nucleon
• Mass Spectra of Baryons
• S-Wave Pion-Σ-Hyperon Scattering
• Low-Energy Limit Theorems and Dispersion Relations
• S-Wave Pion-Nucleon Scattering
• Global Symmetry and the Branching Ratios for the K^- Capture by the Nucleon
• Branching Ratios for the K^- Capture from Hydrogen at Low Energy

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