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Prog. Theor. Phys. Vol. 32 No. 1 (1964) pp. 144-158
Quartet Scheme for Elementary Particles
Ziro Maki and
Yoshio Ohnuki
Institute for Theoretical Physics, Nagoya University, Nagoya
(Received February 3, 1964)
Abstract:
A possible unified model for elementary particles is develpoed generalizing the viewpoint of Sakata-Nagoya model. Instead of the Sakata triplet (p, n and Λ), we work with the quartet of new baryons χ0 and χ(χ1, χ2 and χ3) of spin 1/2, of which χ0 belongs to U(1) whereas the other three to U(3).
Strong interactions are subjected to a “broken U(1)×U(3)” symmetry. Baryon octet (N, Σ, Λ and Ξ) and meson octets (K, π, η, K; etc) are interpreted, respectively, as the three (χχχ0)- or two (χχ)-body composite systems both belonging to 8-dimensional representations of SU(3). One of the crucial test of the model is the prediction of triplet mesons (χχ0), the iso-doublet of which can be identified with κ-mesons. The baryon quartet, χ0 and χ, corresponds to four leptons in the sense of “modified” baryon-lepton symmetry. This enables us to explain Cabibbo's phenomenological weak interaction as a consequence of the present scheme.
URL :
http://ptp.ipap.jp/link?PTP/32/144/
DOI : 10.1143/PTP.32.144
References:
- S. Ogawa, Prog. Theor. Phys. 21 (1959), 209[PTP].
O. Klein, Arch. Swed. Acad. Sci. 16 (1959), 191.
- Y. Yamaguchi, Prog. Theor. Phys. Suppl. No. 11 (1959), 1[PTP]; ibid. No. 11 (1959), 37[PTP].
M. Ikeda, S. Ogawa and Y. Ohnuki, Prog. Theor. Phys. 22 (1959), 715[PTP]; ibid. 23 (1960), 1073[PTP].
Y. Yamaguchi, Prog. Theor. Phys. 23 (1960), 882[PTP].
- S. Sakata, Prog. Theor. Phys. 16 (1956), 686[PTP].
- Y. Yamaguchi, private communication, Jan., 1960.
M. Gell-Mann, CTSL-20, 1961 (unpublished);
Phys. Rev. 125 (1962), 1067[APS].
-
Y. Ne'eman, Nucl. Phys. 26 (1961), 222[CrossRef].
- S. Okubo, Prog. Theor. Phys. 27 (1962), 949[PTP].
- Z. Maki, Prog. Theor. Phys. 31 (1964), 331[PTP]; ibid. 31 (1964), 333[PTP].
-
G. F. Chew and S. Frautschi, Phys. Rev. Lett. 7 (1961), 394[APS];
ibid. 8 (1962), 41[APS].
-
N. Cabibbo, Phys. Rev. Lett. 10 (1963), 531[APS].
- Z. Maki, M. Nakagawa and S. Sakata, Prog. Theor. Phys. 28 (1962), 870[PTP].
- Y. Katayama, K. Matumoto, S. Tanaka and E. Yamada, Prog. Theor. Phys. 28 (1962), 675[PTP].
- Z. Maki, M. Nakagawa, Y. Ohnuki and S. Sakata, Prog. Theor. Phys. 23 (1960), 1274[PTP].
- T. Nakano and K. Nishijima, Prog. Theor. Phys. 10 (1953), 581[PTP].
M. Gell-Mann, Phys. Rev. 92 (1953), 833[APS].
-
Y. Nambu and G. Jona-Lasini, Phys. Rev. 122 (1961), 345[APS];
ibid. 124 (1961), 246[APS].
-
M. Baker and S. L. Glashow, Phys. Rev. 128 (1962), 2472[APS].
- K. Matumoto, Prog. Theor. Phys. 16 (1956), 583[PTP].
-
M. Roos, Rev. Mod. Phys. 35 (1963), 314[APS].
- B. L. Ioffe, JETP (USSR) 43 (1962), 341.
- B. T. Feld and W. M. Layson, Proceedings of 1962 Conference on High Energy Physics at Geneva, p. 147.
-
A. Barbaro-Galtieri et al., Phys. Lett. 6 (1963), 296[CrossRef].
-
M. Abolins et al., Phys. Rev. Lett. 11 (1963), 381[APS].
-
Alexander, G. R. Kalbfleisch, D. H. Miller and G. A. Smith, Phys. Rev. Lett. 8 (1962), 447[APS].
-
S. Okubo, Phys. Lett. 5 (1963), 165[CrossRef].
- S. Minami, Prog. Theor. Phys. 30 (1963), 720[PTP].
- T. Kaneko, Y. Ohnuki and K. Watanabe, Prog. Theor. Phys. 30 (1963), 521[PTP].
-
G. Feinberg and R. E. Behrend, Phys. Rev. 115 (1959), 745[APS].
J. J. Sakurai, Phys. Rev. Lett. 7 (1961), 426[APS].
M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
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