Baryon Resonances and Lightlike Chiral Algebra

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概要

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• Close connections which may exist between the baryon spectrum and pionic decays of baryon resonances are shown in terms of lightlike chiral algebra SU(3)_ι ⊗ SU(3)_ι. As a phenomenological scheme for baryon classification we consider two sets of four Regge families. The scheme, which is based on the concepts of non-degenerate parity partners and Regge daughters, can well explain the observed spectrum. In order to study complicated representation mixing, a bloc hypothesis is introduced by the help of the four-family scheme and observed pionic decays of various resonances. A bloc is a minimal set of states for approximate saturation of Adler-Weisberger relations. We give a more precise meaning to the hypothesis in terms of eigenvectors of the SU(3)_ι ⊗ SU(3)_ι invariant part of the mass-squared operator P^2. Complete knowledge on the matrix elements of P^2 for the eigenvectors can simultaneously determine physical masses and lightlike pion vertices.

• 理論物理学刊行会の論文
• 1974-11-25

著者

• YAMAWAKI Koichi

  Department of Physics, Nagoya University

• Tajima Toshihiko

  Research Institute For Fundamental Physics Kyoto University

• IDA Masakuni

  Research Institute for Fundamental Physics, Kyoto University

• 山脇 幸一

  Department Of Physics Nagoya University

• Yamawaki Koichi

  Department Of Physics Kyoto University

• Ida Masakuni

  Research Institute For Fundamental Physics Kyoto University

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