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Prog. Theor. Phys. Vol. 52 No. 5 (1974) pp. 1583-1600

[ Full Text PDF : FREE ACCESS (1499K) ]

Baryon Resonances and Lightlike Chiral Algebra

Masakuni Ida, Toshihiko Tajima and Koichi Yamawaki*

Research Institute for Fundamental Physics, Kyoto University, Kyoto
*Department of Physics, Kyoto University, Kyoto

(Received May 13, 1974)

Abstract:

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)l ⊗SU(3)l. 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)l ⊗SU(3)l invariant part of the mass-squared operator P2. Complete knowledge on the matrix elements of P2 for the eigenvectors can simultaneously determine physical masses and lightlike pion vertices.


URL : http://ptp.ipap.jp/link?PTP/52/1583/
DOI : 10.1143/PTP.52.1583

[ Full Text PDF : FREE ACCESS (1499K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1865-1866 :
    Mass Relations in Lightlike Chiral Algebra
    Tadao Sugiyama
  2. Progress of Theoretical Physics Vol. 54 No. 4 (1975) pp. 1199-1212 :
    Quantization Quark Fields on a Lightlike Plane
    Masakuni Ida
  3. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1519-1531 :
    A Lightlike Formulation of the Quark Model
    Masakuni Ida
  4. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1582-1590 :
    Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons
    Akira Toyoda, Sin-ya Furui, Tetsuya Tsuchida and Mitsuo Imoto
  5. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1600-1612 :
    Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons. II
    Shin-ya Furui, Akira Toyoda and Tetsuya Tsuchida
  6. Progress of Theoretical Physics Supplement No.82 (1985) pp. 1-164 :
    Algebraic Approach in Quantum Chromodynamics and Electroweak Theory
    Sadao Oneda and Kunihiko Terasaki

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