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Prog. Theor. Phys. Vol. 27 No. 5 (1962) pp. 949-966

[ Full Text PDF : FREE ACCESS (1428K) ]

Note on Unitary Symmetry in Strong Interactions

Susumu Okubo

Department of Physics, University of Tokyo, Tokyo
and
Department of Physics, University of Rochester, Rochester, N.Y., U.S.A.

(Received December 6, 1961)

Abstract:

Assuming invariance of theory under three-dimensional unitary group, various consequences have been investigated. Both Sakata's and Gell-Mann's scheme can be treated in the same fashion and in a simpler way. Mass formula for particles belonging to the same irreducible representation has been derived and compared with experiments.


URL : http://ptp.ipap.jp/link?PTP/27/949/
DOI : 10.1143/PTP.27.949

[ Full Text PDF : FREE ACCESS (1428K) ] Citation:

References:

  1. M. Ikeda, S. Ogawa and Y. Ohnuki, Prog. Theor. Phys. 22 (1959), 715[PTP]; ibid. 23 (1960), 1073[PTP].
  2. Y. Yamaguchi, Prog. Theor. Phys. Suppl. No. 11 (1960), 1[PTP]; ibid. No. 11 (1960), 37[PTP].
  3. M. Gell-Mann, preprint: A Theory of Strong Interaction Symmetry, California Institute of Technology, March 15, 1961; Phys. Rev. 125 (1962), 1067[APS].
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    R. E. Marshak and S. Okubo, Nuovo Cim. 19 (1961), 1226.
  5. A similar analysis has been done by W. E. Thirring, Nucl. Phys. 10 (1959), 97[CrossRef].
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  8. H. Weyl, The Theory of Groups and Quantum Mechanics (Dover Publications. Inc., 1931), see the last chapter.
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  10. H. Weyl, reference 7), use Theorem (7. 10. A), pp. 231-232.
  11. H. Weyl, reference 7), pp. 132 and 208.
  12. Y. Hara and G. P. Singh, private communication.
  13. S. Coleman and S. L. Glaschow, Phys. Rev. Lett. 6 (1961), 423[APS].
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  15. K. Matumoto, Prog. Theor. Phys. 16 (1956), 583[PTP].
    S. Sawada and M. Yonezawa, Prog. Theor. Phys. 23 (1960), 662[PTP].

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