A Generalized Lovelace Equation in the Relativistic Faddeev Formalism. II

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概要

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• By using the relativistic Faddeev formalism for three-particle scattering based on the techniques of Blankenbecler and Sugar to multiladder diagram, a generalized relativistic Lovelace equation is proposed for composite-particle scattering in order to treat bound states and unstable particles in a unified way. In order to obtain our equation from the relativistic Faddeev formalism, we introduce relativistic off-shell form factors and propagators corresponding to composite particles by applying the Fredholm theory to the Blankenbecler-Sugar kernel of the two-body scattering equation. These functions, the off-shell form factors and propagators, are defined by an analytic extension from the energy of bound state or resonance state and the two-body scattering matrix can be separated into a part including a composite-particle pole and a remaining part. By use of these functions, we can derive a generalized Lovelace equation for composite particle scattering as an analytically extended equation of the so-called Lovelace equation given by Freedman, Lovelace and Namyslowski. From the analytically extended properties of these functions, it is emphasized that our equation is more useful in applying to unstable particle scattering and also to production process en-hanced by final interaction in the relativistic three-body scattering problems.

• 理論物理学刊行会の論文
• 1968-06-25

著者

• TAKAHASHI Yasutaro

  Department of Physics Science University of Tokyo

• Oryu Shinsho

  Department Of Physics Science University Of Tokyo

• Oryu Shinsho

  Department Of Physics Faculty Of Science And Technology Science University Of Tokyo

• Mishima Nobuhiko

  Department Of Physics State University Of New York At Buffalo : College Of Science And Engineering A

• Takahashi Yasutaro

  Department Of Physics Mcmaster University : Department Of Physics Science University Of Tokyo

• MISHIMA Nobuhiko

  Department of Physics, State University of New York at Buffalo : College of Science and Engineering, Aoyama Gakuin University

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