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Prog. Theor. Phys. Vol. 47 No. 5 (1972) pp. 1682-1703

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Quartet Scheme of Hadrons in Chiral U(4) ⊗U(4)

Ziro Maki, Toshihide Maskawa* and Isao Umemura**

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

(Received December 6, 1971)

Abstract:

A general scheme of fundamental quartets is reformulated on the basis of strict lepton-baryon symmetry, and treated in a context of chiral U(4) ⊗U(4) invariance. The structure of spontaneous breaking of it accompanied by sixteen Nambu-Goldstone bosons is studied in detail. One of the main predictions of our model is the existence of a new 0--meson, χ, with the mass heavier by ∼0.5 GeV than the charmed partners, which may be identified with new heavy particles recently reported by Niu et al. It decays predominantly as χ→K + K + (π,ηor η) with small decay widths (∼a few MeV). Such an indication of the existence of new heavy particles is encouraging enough to push forward our new treatment of the fundamental quartets (quartons) as a natural generalization of the Sakata-Nagoya model.


URL : http://ptp.ipap.jp/link?PTP/47/1682/
DOI : 10.1143/PTP.47.1682

[ Full Text PDF : FREE ACCESS (1249K) ] Citation:


References:

  1. M. Gell-Mann, R. J. Oakes and B. Renner, Phys. Rev. 175 (1968), 2195[APS]
    S. L. Glashow that S. Weinberg, Phys. Rev. Lett. 20 (1968), 224[APS].
  2. M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
    G. Zweig, CERN Report (1964).
  3. M. Y. Han and Y. Nambu, Phys. Rev. 139 (1965), B1006[APS].
    Y. Miyamoto, Prog. Theor. Phys. Suppl. Extra Number (1965), 187[PTP].
    S. Hori, Prog. Theor. Phys. 36 (1966), 131[PTP].
    A. Fāvkhělidze, in High Energy Physics and Elementary Particles (I.A.E.A. Vienna, 1965).
  4. Z. Maki and T. Maskawa, Prog. Theor. Phys. 46 (1971), 1647[PTP].
  5. T. Hayashi, E. Kawai, M. Matsuda, S. Ogawa and S. Shige-eda, Prog. Theor. Phys. 47 (1972), 280[PTP].
  6. K. Niu, E. Mikumo and Y. Maeda, Prog. Theor. Phys. 46 (1971), 1644[PTP].
    See also Proceedings of International Conference on Cosmic Ray Physics (Tasmania, 1971 Summer).
  7. A. Gamba, R. E. Marshak and S. Okubo, Proc. Natl. Acad. Sci. 45 (1959), 881.
  8. Z. Maki, M. Nakagawa, Y. Ohnuki and S. Sakata, Prog. Theor. Phys. 23 (1960), 1174[PTP].
  9. Z. Maki, M. Nakagawa and S. Sakata, Prog. Theor. Phys. 28 (1962), 870[PTP].
    See also Proceedings of International Conference on High Energy Nuclear Physics (Geneva, 1962), p. 663.
  10. Y. Katayama, K. Matumoto, S. Tanaka and E. Yamada, Prog. Theor. Phys. 28 (1962), 675[PTP].
  11. M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
  12. Z. Maki, Prog. Theor. Phys. 31 (1964), 331[PTP]; ibid. 31 (1964), 333[PTP].
    Z. Maki and Y. Ohnuki, Prog. Theor. Phys. 32 (1964), 144[PTP].
  13. P. Tarjanne and V. L. Teplitz, Phys. Rev. Lett. 11 (1963), 447[APS].
  14. Y. Hara, Phys. Rev. 134 (1964), B701[APS].
  15. S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
  16. S. Sakata, Talk at the RIFP Symposium held at Hiroshima University (1963, March).
    See, Prog. Theor. Phys. Suppl. No. 50 (1971), 208[PTP].
  17. F. Gürsey, T. D. Lee and M. Nauenberg, Phys. Rev. 135 (1964), B467[APS].
    W. Królikowski, Nucl. Phys. 52 (1964), 342[CrossRef].
    D. Amati, H. Bacry, J. Nuyts and J. Prentki, Nuovo Cim. 34 (1964), 1732.
    B. J. Bjorken and S. L. Glashow, Phys. Lett. 11 (1964), 255[CrossRef].
    Recently, some authors have re-emphasized the role of lepton-baryon symmetry in a different context:
    See S. L. Glashow, J. Iliopoulos and L. Maiani, Phys. Rev. D 2 (1970), 1285[APS].
  18. V. Amar, A. Esteve and P. G. Sona, Nuovo Cim. 30 (1963), 772.
  19. For further references, see A. Salam, Rapporteur's talk at the International Conference on High Energy Physics (Kiev, 1964).
  20. R. P. Feynman and M. Gell-Mann, Phys. Rev. 109 (1958), 193[APS].
    R. E. Marshak and E. C. G. Sudarshan, Proceedings of the Padua-Venice Conference on Mesons and Recently Discovered Particles, September 1957; Phys. Rev. 109 (1958), 1860[APS].
  21. N. Cabibbo, Phys. Rev. Lett. 10 (1963), 531[APS].
  22. M. Kobayashi, H. Kondo and T. Maskawa, Prog. Theor. Phys. 45 (1971), 1955[PTP].
  23. Y. Nambu and Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS]; ibid. 124 (1961), 246[APS].
  24. See, for example, B. J. Bjorken and S. L. Glashow, Phys. Lett. 11 (1964), 255[CrossRef].
  25. R. Dashen and M. Weinstein, Phys. Rev. 183 (1969), 1261[APS].
  26. J. S. R. Chisholm, Nucl. Phys. 26 (1961), 469[CrossRef].
    S. Kamefuchi, L. Oraifeartaigh and A. Salam, Nucl. Phys. 28 (1961), 539[Elsevier].
    See the Appendix of C. Hattori, M. Kobayashi, H. Kondo and T. Maskawa, Prog. Theor. Phys. 41 (1969), 1515[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 596-606 :
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  2. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 293-303 :
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  3. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 365-366 :
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  4. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1007-1013 :
    Hadron Symmetries and Gauge Theory of Weak and Electromagnetic Interactions
    Ziro Maki and Toshihide Maskawa
  5. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1692-1695 :
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    Kazuo Koike
  6. Progress of Theoretical Physics Vol. 51 No. 5 (1974) pp. 1575-1584 :
    Massless Vector Gluons in a Unified Gauge Theory of Weak, Electromagnetic and Strong Interactions
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  7. Progress of Theoretical Physics Vol. 51 No. 6 (1974) pp. 1893-1906 :
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    Tsuneo Suzuki
  8. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 249-258 :
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    Kazuo Koike
  9. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1326-1354 :
    Spontaneous Breaking of Chiral Symmetry in a Vector-Gluon Model
    Toshihide Maskawa and Hideo Nakajima
  10. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 791-796 :
    Composite Model of Hadrons Based on SU(4) \supsetSU(2) ⊗SU(2)
    Masao Inose, Reiji Sugano and Tadakuni Tsujimura
  11. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1145-1161 :
    η→2γ Decay and Models of Elementary Particles
    Kikutaro Ohnishi, Tadayuki Teshima and Isao Umemura
  12. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1208-1210 :
    A Subnuclear Approach to “ψ” Particles
    Ziro Maki and Isao Umemura
  13. Progress of Theoretical Physics Vol. 53 No. 5 (1975) pp. 1519-1521 :
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  14. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1851-1852 :
    Selection Rule of Strong Interactions and Decays of ψ-Particles
    Yuji Igarashi, Kazuyoshi Izawa, Akihiro Nakamura, Kansuke Ninomiya and Shoji Sawada
  15. Progress of Theoretical Physics Vol. 53 No. 6 (1975) pp. 1865-1866 :
    Mass Relations in Lightlike Chiral Algebra
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  16. Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 286-287 :
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  17. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 823-835 :
    “ψ” Particles in the Quartet Model
    Ziro Maki, Kikutaro Ohnishi, Tadayuki Teshima and Isao Umemura
  18. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1491-1500 :
    New Particles in the Framework of Quartet Model
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  19. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1501-1512 :
    On Weak Interaction and Its Selection Rule of the Quartet Model Based on SU(4) \supsetSU(2) ⊗SU(2)
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  20. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1513-1518 :
    Role of Singlet Gluon Filters in the Colored Quartet Model of Hadrons
    Hiroshi Suura and Masaaki Kuroda
  21. Progress of Theoretical Physics Vol. 54 No. 6 (1975) pp. 1766-1774 :
    The Naive Quartet Quark Model and the ψ's
    Keijiro Honda, Kenzo Iwata, Yasuo Matsuda and Toshiyuki Murota
  22. Progress of Theoretical Physics Vol. 55 No. 1 (1976) pp. 267-279 :
    “ψ” Particles in the Quartet Model. II
    Ziro Maki, Kikutaro Ohnishi, Tadayuki Teshima and Isao Umemura
  23. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 818-831 :
    Unified Description of Meson and Baryon Masses and the Charmed Particles
    Shoji Sawada
  24. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 832-843 :
    On the Non-Leptonic Decays of the Charmed Baryons
    Tutomu Karino
  25. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1559-1570 :
    Form Factor Effect on Photodecay Processes of “ψ” Particles into a Pseudoscalar Meson in a Relativistic Composite Particle Model
    Azusa Matsuda, Keisuke Okano, Seiji Saito, Kuniyoshi Yoshikawa and Masami Nakagawa
  26. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1651-1652 :
    Sum Rules on the Electromagnetic Mass Differences in the Broken SU(4) Scheme
    Masaaki Kuroda
  27. Progress of Theoretical Physics Vol. 55 No. 6 (1976) pp. 1923-1938 :
    Urbaryon Diagrams and Selection Rule of Weak Non-Leptonic Processes
    Masahisa Matsuda
  28. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 994-995 :
    On Consistency between Okubo-Type Mass Formula and Experimental Result of DORIS
    Keijiro Honda, Kenzo Iwata and Toshiyuki Murota
  29. Progress of Theoretical Physics Vol. 56 No. 6 (1976) pp. 1902-1909 :
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    Ziro Maki, Tadayuki Teshima and Isao Umemura
  30. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1062-1063 :
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  31. Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 907-920 :
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  32. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 507-514 :
    Masses and Decay Constants of Charmed Mesons
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  33. Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 927-939 :
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  34. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1613-1624 :
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  35. Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 1127-1143 :
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  36. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 583-592 :
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