Multichannel Scattering and Equivalence between Four-Fermion and Yukawa Coupling

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概要

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• An intermediate type of solution to the multichannel N/D equation is investigated. It is found that the number of independent parameters contained in the subtraction constant matrix N(∞), which may be considered as renormalized direct coupling constants, is at most n in the n-channel case. In order to see the meaning of this reduction of the number of free parameters, a multichannel Zachariasen model is examined in detail. It is found that this reduction is reflected in the effective reduction of the number of free parameters of the bare direct coupling constants λ, i. e. the effective factorizability of λ. This result may be considered as a suggestion of the equivalence between the four-Fermi theory and the Yukawa theory in the multichannel case.

• 理論物理学刊行会の論文
• 1966-07-25

著者

• Yabuki Haruichi

  Institute Of Physics College Of General Education University Of Tokyo

• Yabuki H.

  Institute For Hydrospheric-atmospheric Sciences Nagoya University

関連論文

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• Scattering Lengths for Complex Angular Momenta
• Low Energy Behavior of the π-π Phase Shifts
• Low-Energy Behaviors of the T=0, S-Wave, π-π Scattering Phase Shift and a Possible Scalar Meson Nonet
• Compositeness Conditions and the Indefinite Nature of the Self-Mass
• Angular Distribution Dependence on Transverse Momentum in High Energy Collisions
• Multichannel Scattering and Equivalence between Four-Fermion and Yukawa Coupling
• Many-Pole Amplitudes and Elementarity. II : The Case of Two Non-Composite Particles
• A Remark on the Condition, Z_3=0 : Case of Many Particles with Identical Quantum Numbers

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