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Prog. Theor. Phys. Vol. 47 No. 5 (1972) pp. 1682-1703
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
References:
-
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].
-
M. Gell-Mann, Phys. Lett. 8 (1964), 214[CrossRef].
G. Zweig, CERN Report (1964).
-
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).
- Z. Maki and T. Maskawa, Prog. Theor. Phys. 46 (1971), 1647[PTP].
- T. Hayashi, E. Kawai, M. Matsuda, S. Ogawa and S. Shige-eda, Prog. Theor. Phys. 47 (1972), 280[PTP].
- 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).
- A. Gamba, R. E. Marshak and S. Okubo, Proc. Natl. Acad. Sci. 45 (1959), 881.
- Z. Maki, M. Nakagawa, Y. Ohnuki and S. Sakata, Prog. Theor. Phys. 23 (1960), 1174[PTP].
- 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.
- Y. Katayama, K. Matumoto, S. Tanaka and E. Yamada, Prog. Theor. Phys. 28 (1962), 675[PTP].
-
M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
- 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].
-
P. Tarjanne and V. L. Teplitz, Phys. Rev. Lett. 11 (1963), 447[APS].
-
Y. Hara, Phys. Rev. 134 (1964), B701[APS].
- S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
- S. Sakata, Talk at the RIFP Symposium held at Hiroshima University (1963, March).
See, Prog. Theor. Phys. Suppl. No. 50 (1971), 208[PTP].
-
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].
- V. Amar, A. Esteve and P. G. Sona, Nuovo Cim. 30 (1963), 772.
- For further references, see A. Salam, Rapporteur's talk at the International Conference on High Energy Physics (Kiev, 1964).
-
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].
-
N. Cabibbo, Phys. Rev. Lett. 10 (1963), 531[APS].
- M. Kobayashi, H. Kondo and T. Maskawa, Prog. Theor. Phys. 45 (1971), 1955[PTP].
-
Y. Nambu and Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS];
ibid. 124 (1961), 246[APS].
-
See, for example, B. J. Bjorken and S. L. Glashow, Phys. Lett. 11 (1964), 255[CrossRef].
-
R. Dashen and M. Weinstein, Phys. Rev. 183 (1969), 1261[APS].
-
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].
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