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Prog. Theor. Phys. Vol. 45 No. 3 (1971) pp. 833-853

[ Full Text PDF : FREE ACCESS (1257K) ]

The Universal Interaction for Hyperon Non-Leptonic Decay and an Interpretation of the P-wave Problem

Mitsuo Imoto and Katsuya Nakamura*

Departmet of Physics, Ibaraki University, Mito
and Scuola Normale Superiore, Pisa, Italy
*Department of Physics, College of Science and Engineering, Nihon University, Tokyo

(Received October 12, 1970)

Abstract:

The most suitable type of effective interaction for non-leptonic decay of octet baryons is chosen by semi-phenomenological requirements. A possible explanation for the p-wave problem is proposed, based on a critical discussion of current-algebraic results and of the pole approximation analogous to that in baryon-meson scatterings. First, we show the following phenomenological results. i) The derivative coupling of the ps-meson to the baryon, ∂µM-coupling, agrees best in the simplest way with experimental amplitudes both for the parity-violating and the parity-conserving parts. This means that the soft meson limit technique in current-algebraic calculation should cause missing terms, particularly serious in the p.c. part. ii) Only ∂µM-coupling gives an approximate universality; the effective coupling constant and their ratio between the p.v. and p.c. parts are very close to the β-decay coupling constant without Cabibbo's sin θ and gA/gV ratio, respectively. iii) BγµB in the p.v. selected effective interaction makes an 8f representation in SU3, while Bγµγ5B in the main term of the selected p.c. part consists of 1, 8d and 27 representations with a definite algebraic proportion but involves neither 10 nor 10*. This requirement is more severe than the necessary condition pointed out by Rosen for the Sugawara-Lee relation. Then, based on the phenomenological results and critical discussion of current-algebra and of pole approximation, it is suggested that contributions to the p.c. amplitues come mainly from direct-coupling terms, which have no analogy in the pole approximation of low energy baryon-meson scattering and also have been so far missing, due to their derivative type, in current-algebraic calculation within the soft-meson limit.


URL : http://ptp.ipap.jp/link?PTP/45/833/
DOI : 10.1143/PTP.45.833

[ Full Text PDF : FREE ACCESS (1257K) ] Citation:

References:

  1. M. Imoto and K. Ohya, Prog. Theor. Phys. 39 (1968), 1233[PTP].
  2. B. Steck, Report at the International Summer School on Weak Interaction, Karlesruhe, July 14-30, 1969.
  3. S. Coleman and S. L. Glashow, Phys. Rev. 134 (1964), B671[APS].
  4. B. W. Lee, Phys. Rev. 140 (1965), B152[APS].
    But here, too, to get iλγ-effective interaction did not succeed; since only gIc and gIIc appeared without gIII, B(Σ--)=0 and B(Σ++)≠0 cannot be lead, as easily understood from our Table II-2.
  5. A. Toda and A. Murayama, Prog. Theor. Phys. 39 (1968), 1289[PTP].
    S. Furui: Comments on Toda's proposal in the winter Tokyo meeting of “Molecular” Research Group on non-leptonic decays (Dec. 1966) and in the meeting on non-leptonic decays at the Research Institute for Fundamental Physics (June 1967, Kyoto).
  6. B. W. Lee, Phys. Rev. 170 (1968), 1359[APS].
  7. As far as one is concerned with non-derivative couplings only, the possibility that both (2·2) and (2·3) are allowed was shown by
    S. Coleman, S. L. Glashow and B. W. Lee, Ann. of Phys. 30 (1964), 348[CrossRef]. ]] Also the phenomenological analysis by reference 5) is limited to the cases of non-derivative coupling in A-family.
  8. The first work in which RP-invariance was applied for hyperon non-leptonic decays was K. Fujii and D. Itô, Prog. Theor. Phys. 30 (1963), 720, [PTP]whose results involved S-L relation implicitly.
    But, to explain the other behaviors of the p.c. amplitudes, they introduced an unexplained assumption similar to selecting (4·3a) and (4·3d) among (4·3a, b, c and d).
  9. S. P. Rosen, Phys. Rev. 135 (1965), B326[APS].
    D. S. Carlstone, S. P. Rosen and S. Pakavasa, Phys. Rev. 174 (1968), 1877[APS].
  10. C. Lzykson and M. Jacob, Nuovo Cim. A 48 (1967), 655.
    A. Kumar and J. C. Pati, Phys. Rev. Lett. 18 (1967), 1230[APS].
    There is a mistake in the numerical definition in the later, which was pointed out in the paper by
    M. Hirano, K. Fujii and O. Terazawa, Prog. Theor. Phys. 40 (1960), 114[PTP].
    Other references are listed in those papers and reference 11) and on the report by B. W. Lee in the Topical Conference on Weak Interactions CERN 69-7 (1969).
  11. a) K. Nishijima and L. Swank, Phys. Rev. 146 (1966), 1161[APS].
    K. Nishijima, Phys. Rev. 157 (1967), 1459[APS].
    A. Toda and F. Takagi, Prog. Theor. Phys. 37 (1967), 1040[PTP].
    K. Watanabe, Phys. Rev. 159 (1967), 1369[APS].
    b) K. Fujii and D. Terazawa, Prog. Theor. Phys. 37 (1967), 205[PTP]; ibid. 37 (1967), 207[PTP].
    K. Fujii, M. Imoto, S. Kawasaki, S. Furui and T. Tsuchida, Prog. Theor. Phys. 38 (1967), 388[PTP].
  12. B. W. Lee and A. R. Swift, Phys. Rev. 136 (1964), B228[APS].
    J. J. Sakurai, Phys. Rev. 156 (1967), 1508[APS].
  13. See, for example, the reference cited in 1) and 11). For a version from the recent view point of duality,
    S. Nussinov and J. L. Rosner, Phys. Rev. Lett. 23 (1969), 1264[APS].
  14. The contribution of decuplet resonance has an unfavorable features, too, and cannot contribute enough. In the parameter fitting without the condition (5·1), gMM becomes too big to explain the K →3π parity-conserving amplitudes under the similar pole approximation.
  15. The other hypothesis relating to this problem is proposed, for example, in
    K. Nishijima, Prog. Theor. Phys. 14 (1969), 561[PTP].

Citing Article(s) :

  1. 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
  2. Progress of Theoretical Physics Vol. 47 No. 1 (1972) pp. 336-337 :
    Comments on Ω-Nonleptonic Decay
    Akira Toyoda, Sinya Furui and Tetsuya Tsuchida
  3. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1971-1972 :
    Simple Phenomenology on K-2π Decays
    Akira Toyoda, Sinya Furui and Tetsuya Tsuchida
  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. 1 (1978) pp. 199-207 :
    Nonleptonic Decays of 1/2+-Baryons and Pseudo-Connected-Line Diagrams. I
    Yoshikazu Abe and Kanji Fujii
  6. 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

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