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Prog. Theor. Phys. Vol. 45 No. 6 (1971) pp. 1944-1954

[ Full Text PDF : FREE ACCESS (654K) ]

Characteristic Features in Nonleptonic Hyperon Decays and Composite Models

Mituaki Katuya, Kanji Fujii, Seiji Ōkubo and Akihiro Murayama*

Faculty of Science, Hokkaido University, Sapporo
*Faculty of Education, Shizuoka University, Shizuoka

(Received December 26, 1970)

Abstract:

We summarize necessary conditions in the SU(3) frame imposed on nonleptonic hyperon decay amplitudes by studying various selection rules, and discuss relations between connected-urbaryon-diagrams and physical decay amplitudes. On the basis of a nonrelativistic weak skeleton model, we introduce 3*-model and discuss its consequences.


URL : http://ptp.ipap.jp/link?PTP/45/1944/
DOI : 10.1143/PTP.45.1944

[ Full Text PDF : FREE ACCESS (654K) ] Citation:

References:

  1. For example, K. Fujii, M. Imoto, S. Kawasaki, S. Furui and T. Tsuchida, Prog. Theor. Phys. 38 (1967), 388[PTP].
    S. Furui and N. N. Trofimenkoff, preprint (Dec. 1968).
    M. Nakagawa, Lecture Note.
  2. A. Toda and A. Murayama, Prog. Theor. Phys. 39 (1968), 1289[PTP].
  3. Z. Maki, Prog. Theor. Phys. 31 (1964), 331[PTP]; ibid. 31 (1964), 333[PTP].
    Y. Hara, Phys. Rev. 134 (1964), B701[APS].
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    Y. Koide, Prog. Theor. Phys. 40 (1968), 898[PTP].
    M. Katuya and A. Murayama, Prog. Theor. Phys. 42 (1969), 980[PTP].
  5. M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
    G. Zweig, CERN preprint.
  6. H. Noda and F. Toyoda, Prog. Theor. Phys. 44 (1970), 811[PTP]; ibid. 45 (1971), 1634[PTP].
  7. For the origin of (1), see T. Hayashi, Y. Koide and S. Ogawa, Prog. Theor. Phys. 39 (1968), 1372[PTP];
    K. Fujii, Y. Itō, K. Iwata and O. Terazawa, Prog. Theor. Phys. 33 (1965), 692[PTP].
    For the discussion of (1), see M. Katuya and Y. Koide, Prog. Theor. Phys. 42 (1969), 663[PTP];
    M. Katuya and K. Fujii, Prog. Theor. Phys. 44 (1970), 486[PTP].
  8. This model has been once investigated by T. Hayashi, M. Nakagawa, A. Toyoda and I. Umemura, Prog. Theor. Phys. 35 (1966), 897[PTP].
  9. M. Imoto and K. Nakamura, Prog. Theor. Phys. 45 (1971), 833[PTP].
  10. For example, see Lipkin, Lie Group for Pedestrians (North-Holland Publishing Company):
    This symmetry was first applied to nonleptonic hyperon decays by
    K. Fujii and D. Ito, Prog. Theor. Phys. 30 (1963), 718[PTP].
  11. Importance of the absence rule was first noted by S. P. Rosen, Phys. Rev. 140 (1965), B526[APS].
  12. M. Ikeda, Y. Miyachi and S. Ogawa, Prog. Theor. Phys. 24 (1960), 569[PTP]; ibid. 25 (1961), 121[PTP].
    M. L. Good and M. M. Nieto, Phys. Rev. Lett. 20 (1968), 624[APS].
  13. A. Murayama, Prog. Theor. Phys. 43 (1970), 125[PTP].
    K. Fujii, Lecture Note.
  14. K. Konno and K. Nakamura, NUP-A-70-9.
  15. M. Nakagawa, a comment given at the research meeting on the weak interaction of elementary particles (Jan. 1970, Kyoto).
  16. H. Harari, Phys. Rev. Lett. 22 (1969), 562[APS].
    J. Rosner, Phys. Rev. Lett. 22 (1969), 689[APS].
    A similar idea had been proposed by M. Imachi, T. Matsuoka, K. Ninomiya and S. Sawada, Prog. Theor. Phys. 40 (1968), 353[PTP].
  17. The three-triplet model was originally proposed by Han and Nambu, Phys. Rev. 139 (1965), B1006[APS].
    The basic feature of this model has been independently proposed by Tavkhelidze et al., High Energy Physics and Elementary Particles (ICTP Trieste, International Atomic Energy Agency, Vienna, 1965), p. 763.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1430-1432 :
    Generalized “Similarity” Relation
    Mituaki Katuya
  2. Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 927-938 :
    Generalized “Similarity” Relation and Trilinear Matrix Elements
    Mituaki Katuya
  3. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 293-303 :
    On the ΔS=0 and ΔN'=1 Non-Leptonic Interaction in the New Nagoya Model
    Takemi Hayashi, Tutomu Karino, Masahisa Matsuda and Shuzo Ogawa
  4. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 975-994 :
    A Model of Weak Interaction Based on the Three-Triplet Model of Hadrons
    Kanji Fujii, Mituaki Katuya, Seiji Okubo and Shin-ichiro Tamura
  5. Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 2092-2105 :
    Nonleptonic Decays and Sub-Hadronic Interaction. I
    Mitsuaki Katuya and Yoshio Koide
  6. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 355-356 :
    SU(3) Structure of Neutral Currents in the New Nagoya Model
    Hidekazu Kurokawa
  7. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 636-646 :
    On Selection Rule of Weak Processes and Decays of New Particles. II
    Takemi Hayashi, Masami Nakagawa, Hidemitsu Nitto and Shuzo Ogawa
  8. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1216-1217 :
    Forward Behaviour of One-PS-Meson Production Cross Section in Neutrino-Nucleon Collisions
    Seiji Ōkubo and Mituaki Katuya
  9. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 253-258 :
    Suppression of Forward π0 and η0 Productions in Weak-Neutral-Current Processes
    Mituaki Katuya
  10. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 199-207 :
    Nonleptonic Decays of 1/2+-Baryons and Pseudo-Connected-Line Diagrams. I
    Yoshikazu Abe and Kanji Fujii
  11. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 208-213 :
    Nonleptonic Decays of 1/2+-Baryons and Pseudo-Connected-Line Diagrams. II
    Yoshikazu Abe, Kanji Fujii and Keijiro Honda
  12. Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 1066-1072 :
    Quark-Diquark Model and Nonleptonic Decays of Hyperons and Charmed Baryons
    Takemi Hayashi, Tutomu Karino and Tsutomu Yanagida
  13. Progress of Theoretical Physics Vol. 64 No. 1 (1980) pp. 258-263 :
    Diquark Model and Nonleptonic Decays of Hyperons
    Okiyasu Shito

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