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\(\overline {SL}\)(4,R) dynamical symmetry for hadrons

  • I. Symmetries and Dynamics
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Conformal Groups and Related Symmetries Physical Results and Mathematical Background

Part of the book series: Lecture Notes in Physics ((LNP,volume 261))

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Abstract

The double covering group \(\overline {SL}\)(4,R) of the SL(4,R) group is proposed as a dynamical symmetry for hadron resonances. It is suggested that the spectrum of baryon and meson resonances, for each flavour, corresponds to a set of infinite-component field equation projected states of the spinor and tensor unirreps of \(\overline {SL}\)(4,R) respectively. \(\overline {SL}\)(4,R) is a geometrical space-time originated symmetry, presumably resulting from QCD, with possible connection to the affine gauge gravity and/or extended object picture of hadrons. The comparison with experiment seems very good.

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References

  1. Y. Ne'eman and Dj. Ŝijaĉki, Phys. Lett. 157B (1985)267.

    Google Scholar 

  2. A. Cant and Y. Ne'eman, J. Math. Phys. (in press).

    Google Scholar 

  3. Y. Ne'eman and Dj. Ŝijaĉki, Phys. Lett. 157B (1985)275.

    Google Scholar 

  4. Dj. Ŝijaĉki and Y. Ne'eman, J. Math. Phys. 26 (1985)2457.

    Google Scholar 

  5. F. W. Hehl, G. D. Kerlick and P. von der Heyde, Phys. Lett. 63B (1976)446.

    Google Scholar 

  6. F. W. Hehl, E. A. Lord and Y. Ne'eman, Phys. Lett. 71B (1977)432; Phys. Rev. D 17(1978)428.

    Google Scholar 

  7. Y. Ne'eman and Dj. Ŝijaĉki, Proc. Natl. Acad. Sci. USA 76 (1979)561; Ann. Phys. (N.Y.) 120(1979)292.

    Google Scholar 

  8. Dj. Ŝijaĉki, Phys. Lett. 109B (1982)435.

    Google Scholar 

  9. Dj. Ŝijaĉki, Lecture Notes in Phys. 79 (1978)394.

    Google Scholar 

  10. Dj. Ŝijaĉki, Ann. Isr. Phys. Soc. 3 (1980)35.

    Google Scholar 

  11. Y. Ne'eman and Dj. Ŝijaĉki, Tel-Aviv Univ. preprint TAUD 699-78.

    Google Scholar 

  12. Y. Dothan, M. Gell-Mann and Y. Ne'eman, Phys. Lett. 17 (1965)148.

    Google Scholar 

  13. Dj. Ŝijaĉki, Ph. D. Thesis, Duke Univ. (1974).

    Google Scholar 

  14. Dj. Ŝijaĉki, J. Math. Phys. 16 (1975)289.

    Google Scholar 

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Authors and Affiliations

  1. Institute of Physics, P.O. Box 57, Belgrade, Yugoslavia

    Dj. Ŝijaĉki

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  1. Dj. Ŝijaĉki
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A. O. Barut H. -D. Doebner

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© 1986 Springer-Verlag

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Ŝijaĉki, D. (1986). \(\overline {SL}\)(4,R) dynamical symmetry for hadrons. In: Barut, A.O., Doebner, H.D. (eds) Conformal Groups and Related Symmetries Physical Results and Mathematical Background. Lecture Notes in Physics, vol 261. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3540171630_66

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  • DOI: https://doi.org/10.1007/3540171630_66

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17163-8

  • Online ISBN: 978-3-540-47219-3

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