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Algebraic approach to hadrons without seeing quarks

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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 94))

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References

  1. S. Oneda, in Proceedings of INS International Symposium on New Particles and the structure of Hadrons, Tokyo, 1977 edited by K. Fujikawa et. al. (Institute for Nuclear Study, University of Tokyo) p. 94. S. Oneda and Seisaku Matsuda, in Fundamental Interactions in physics, 1973, Coral Gables Conference, edited by B. Kursunoglu and A. Perlmutter (Plenum, New York, 1973,. 175. Exhaustive references were given there.

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  2. S. Okubo, Phys. Rev. 16D, 2336 (1977) and the references cited there.

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  3. For somewhat similar non-perturbation theoretic approaches to broken SU(3) (SU(4),...), see for example, A. Bohm and J. Werle, Nucl. Phys. Bl06, 165 (1976) and A. Bohm and R. B. Teese, Phys. Rev. Lett. 38, 629 (1977).

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  4. H. L. Hallock and S. Oneda, Phys. Rev. D18, 841 (1978), and H. L. Hallock and S. Oneda, SU(3) in the world of more than three quarks — derivation of nonet structure and quark-line rule. Phys. Rev. in the press.

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  5. Actually Eq. (6) coincides with one of the three (two of them are useless) 15-plet mass formula derived in the early work on SU(4). However, the 15plet assumption is certainly not realistic. B. J. Bjorken and S. L. Glashow Phys. Rev. Lett. 11, 255 (1964); D. Amati, H. Bacry, J. Nuyts and J. Prentki, Nuovo Cimento 34, 1732 (1964); R. E. Marshak, S. Okubo and J. H. Wojtaszek, Phys. Rev. Lett. 15, 464 (1965); G. Karl, Nuovo Cimento, 38A, 315 (1977).

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  6. This result is different from the usually favored choice θ ≅ 10°.

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  7. S. Oneda, T. Tanuma and Milton D. Slaughter, to be published.

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  8. Seisaku Matsuda and S. Oneda, Phys. Rev. D5, 2287 (1972) and Milton D. Slaughter and S. Oneda, Phys. Rev. D14, 1314 (1976).

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Authors and Affiliations

  1. Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, 20742, College Park, Maryland

    S. Oneda

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  1. S. Oneda
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Wolf Beiglböck Arno Böhm E. Takasugi

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Dedicated to the memory of my mother, Kazu Oneda, January 21, 1896–July 22, 1978.

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© 1979 Springer-Verlag

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Oneda, S. (1979). Algebraic approach to hadrons without seeing quarks. In: Beiglböck, W., Böhm, A., Takasugi, E. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09238-2_84

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  • DOI: https://doi.org/10.1007/3-540-09238-2_84

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09238-4

  • Online ISBN: 978-3-540-35345-4

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