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Prog. Theor. Phys. Vol. 39 No. 5 (1968) pp. 1233-1267

[ Full Text PDF : FREE ACCESS (2142K) ]

Phenomenological Approach to Non-Leptonic Decays. I

— Scattering-like Structure as a Background of Vector Pole Dominance in S-waves, and a Problem of P-waves —

Mitsuo Imoto and Katsuhiko Ohya

Department of Physics and Atomic Energy Research Institute, College of Science and Engineering, Nihon University, Tokyo

(Received October 12, 1967)

Abstract:

Taking account of the complicated dual nature of the non-leptonic phenomena in which strong and symmetry-breaking interactions play essential roles as well as primary weak interactions, we propose a systematic and steady phenomenological approach from the side of emphasizing a parallelism to strong hadronic scattering. The first step of this phenomenological approach (Part I) is attempted by the pole approximation only as a working hypothesis, taking octet-, decuplet- and Y0*-badryon poles as well as octet pseudoscalar, nonet vector and scalar κ-meson poles. The parity-violating amplitudes agree better with the iλ7-like effective weak interactions than λ6-like ones. Moreover, in the case of iλ7-type the background on which the “vector boson pole dominance” approximation holds is found to be the baryon pole damping similar to that in low energy S-wave πN scattering. On the other hand the parity-conserving amplitudes agree with experiment only through the λ6-like effective interaction under the f/d ratio of weak interaction ξc that deviates from the f/d ratio of mass-splitting ξM. Some contradiction is found, however, in the ideal limit ξc=ξM which is expected on those theories that unify the λ6-like parity-conserving effective weak interaction with the iλ7-like parity-violating one. Thus it is suspected that the main part of parity-conserving amplitudes does not come from the graphs developed into the pole terms, at least in the same order symmetry-breaking as that giving a consistent solution for parity-violating amplitudes.


URL : http://ptp.ipap.jp/link?PTP/39/1233/
DOI : 10.1143/PTP.39.1233

[ Full Text PDF : FREE ACCESS (2142K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 5 (1968) pp. 1268-1277 :
    Phenomenological Approach to Non-Leptonic Decays. II
    Katsuhiko Ohya, Mitsuo Imoto and Shoichiro Kawasaki
  2. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1546-1553 :
    Nonleptonic Hyperon Decays Based on the Composite Scheme
    Akihiro Murayama
  3. Progress of Theoretical Physics Vol. 40 No. 1 (1968) pp. 114-123 :
    Nonleptonic Hyperon Decays and Equal-Time Commutation Relations
    Masanobu Hirano, Kanji Fujii and Osamu Terazawa
  4. Progress of Theoretical Physics Vol. 40 No. 3 (1968) pp. 571-575 :
    Comment on Interrelation between Weak Four-Fermion Interaction and Weak Bilinear Interaction
    Kanji Fujii and Shin-ya Furui
  5. Progress of Theoretical Physics Vol. 40 No. 5 (1968) pp. 1183-1184 :
    A ∂µJµ-Type Weak Interaction and E.T.C. Terms in Nonleptonic Hyperon Decays
    Katsuhiko Ohya
  6. Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 153-160 :
    Dynamical Model for the Nonleptonic P-Wave Decay of Hyperons
    Naoki Tokuda
  7. 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
  8. Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1273-1288 :
    Theory of Nonleptonic Decays
    Takashi Matsuda
  9. Progress of Theoretical Physics Vol. 44 No. 2 (1970) pp. 473-485 :
    Nonleptonic Hyperon Decays and Breaking of Chiral SU(3) ⊗SU(3)
    Katsuhiko Ohya
  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. 47 No. 1 (1972) pp. 332-333 :
    A Note on the Nonleptonic Hyperon Decays and an SU(3)-Singlet Baryon
    Mituaki Katuya
  12. Progress of Theoretical Physics Vol. 58 No. 6 (1977) pp. 1849-1858 :
    New Vector-Like Model and Nonleptonic Decays of Ordinary and Charmed Hadrons
    Yoshikazu Abe, Kanji Fujii and Kazuhiro Sato
  13. Progress of Theoretical Physics Vol. 61 No. 4 (1979) pp. 1263-1266 :
    Strength of Parity-Violating Nucleon-Pion Interactions
    Katsuhiko Ohya
  14. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 1075-1084 :
    Light-Like Reduction Formula and Derivation of PC and PV Lee-Sugawara Relation
    Mitsuo Imoto

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