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Prog. Theor. Phys. Vol. 39 No. 5 (1968) pp. 1289-1303

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Three Properties of Nonleptonic Hyperon Decays

Azuma Toda and Akihiro Murayama*

Department of Physics, Tohoku University, Sendai
*Department of Physics, Hokkaido University, Sapporo

(Received November 24, 1967)

Abstract:

The nonleptonic hyperon decay has the following three properties: I) the |ΔI|=1/2 rule holds, II) i) Σ+n+ is the pure p-wave decay, ii) Σ-n- is the pure s-wave decay, and III) the triangle relation of Lee and Sugawara holds. In this paper we discuss the following problems: Does there exist such a simple model which can give a theoretical basis for these three properties? If it does not exist yet, then how can we construct the required model?
For this purpose, we take up four typical examples of models: (I) Pole model, (II) Current algebra model, (III) \tildeU(12) symmetry model and (IV) Composite model. It has turned out that no model succeeds in explaining all of the three properties. In particular, the existing model fail to obtain g-=0 without parameter-fitting. Therefore, whenever one tries to construct a new model on the nonleptonic decay, one must begin with searching how to obtain g-=0.


URL : http://ptp.ipap.jp/link?PTP/39/1289/
DOI : 10.1143/PTP.39.1289

[ Full Text PDF : FREE ACCESS (770K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1546-1553 :
    Nonleptonic Hyperon Decays Based on the Composite Scheme
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  2. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1598-1599 :
    Nonleptonic Hyperon Decays and the U(4) Model
    Yoshio Koide
  3. Progress of Theoretical Physics Vol. 40 No. 4 (1968) pp. 898-900 :
    Note on the Effective Hamiltonian of Nonleptonic Hyperon Decays
    Yoshio Koide
  4. Progress of Theoretical Physics Vol. 41 No. 2 (1969) pp. 491-499 :
    Symmetry Breaking Effects in Nonleptonic Decays of Hyperons
    Azuma Toda and Mitsuru Sakuraoka
  5. Progress of Theoretical Physics Vol. 42 No. 6 (1969) pp. 1485-1487 :
    Vanishing of P--) on the Basis of a Similarity between the Symmetry Breaking and Nonleptonic Interactions
    S. Furui and N. N. Trofimenkoff
  6. Progress of Theoretical Physics Vol. 43 No. 1 (1970) pp. 125-143 :
    Investigation of Nonleptonic Hyperon Decays and Baryon β-Decays Based on the Quartet Model
    Akihiro Murayama
  7. Progress of Theoretical Physics Vol. 44 No. 3 (1970) pp. 811-813 :
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    Hujio Noda and Fumihiko Toyoda
  8. Progress of Theoretical Physics Vol. 44 No. 5 (1970) pp. 1420-1422 :
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  9. Progress of Theoretical Physics Vol. 44 No. 6 (1970) pp. 1707-1709 :
    Comment on Parity Violating Nonleptonic Hyperon Decays
    Kimiaki Konno and Katsuya Nakamura
  10. Progress of Theoretical Physics Vol. 45 No. 3 (1971) pp. 833-853 :
    The Universal Interaction for Hyperon Non-Leptonic Decay and an Interpretation of the P-wave Problem
    Mitsuo Imoto and Katsuya Nakamura
  11. Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1634-1645 :
    Urbaryon Rearrangement Diagram and Nonleptonic Hyperon Decays
    Hujio Noda and Fumihiko Toyoda
  12. Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 1944-1954 :
    Characteristic Features in Nonleptonic Hyperon Decays and Composite Models
    Mituaki Katuya, Kanji Fujii, Seiji Ōkubo and Akihiro Murayama
  13. Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 1990-1992 :
    ΔI=1/2 rule, S++)=0, P--)=0 and Law of Configuration Conservation in Weak Nonleptonic Processes
    Masami Nakagawa
  14. Progress of Theoretical Physics Vol. 46 No. 2 (1971) pp. 534-541 :
    On Nonleptonic Hyperon Decays. I
    Kimiaki Konno and Katsuya Nakamura
  15. 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
  16. 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
  17. Progress of Theoretical Physics Vol. 59 No. 1 (1978) pp. 208-213 :
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    Yoshikazu Abe, Kanji Fujii and Keijiro Honda
  18. 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