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Aq deformation of Gell-Mann-Okubo mass formula


We explore the possibility of deforming Gell-Mann-Okubo (GMO) mass formula within the framework of a quantized enveloping algebra. A small value of the deformation parameter is found to provide a good fit to the observed mass spectra of theπ, K andη mesons.

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  1. C Zachos, inDeformation theory and quantum groups with applications to mathematical physics, contemporary mathematics edited by M Gerstenhaber and J Stashef (American Mathematical Society, Providence, RI, 1992) Vol. 134

    Google Scholar 

  2. T Curtright, D Fairlie and C Zachos (eds)Proc. Argonne Workshop on Quantum Groups (World Scientific, Singapore, 1991)

    Google Scholar 

  3. J Fuchs,Affine Lie algebras and quantum groups (Cambridge Univ. Press, Cambridge, 1992)

    MATH  Google Scholar 

  4. See for instance D V Boulatov,Mod. Phys. Lett. A7, 1629 (1992)

    ADS  MathSciNet  Google Scholar 

  5. A Chodos and D G Caldi,J. Phys. A24, 5505 (1991)

    ADS  MathSciNet  Google Scholar 

  6. M Kibler and T Negadi,J. Phys. A24, 5283 (1991)

    ADS  MathSciNet  Google Scholar 

  7. E Witten,Comm. Math. Phys. 121, 351 (1989)

    MATH  Article  ADS  MathSciNet  Google Scholar 

  8. S L Woronowicz,Comm. Math. Phys. 111, 613 (1987)

    MATH  Article  ADS  MathSciNet  Google Scholar 

  9. V Drinfeld,Sov. Math. Dokl. 32, 254 (1985)

    Google Scholar 

  10. M Jimbo,Lett. Math. Phys. 10, 63 (1985)

    MATH  Article  ADS  MathSciNet  Google Scholar 

  11. D B Fairlie and J Nuyts,J. Math. Phys. 35, 3794 (1994)

    MATH  Article  ADS  MathSciNet  Google Scholar 

  12. M Gell-Mann, R J Oakes and B Renner,Phys. Rev. 175, 2195 (1968)

    Article  ADS  Google Scholar 

  13. See for example F J Narganes-Quijano,J. Phys. A24, 593 (1991)

    ADS  MathSciNet  Google Scholar 

  14. A Lorek and J Wess,Dynamical symmetries in q deformed quantum mechanics, Preprint MPI-PhT/95-1 (February 95)

  15. T L Curtright and C K Zachos,Phys. Lett. B243, 237 (1990)

    ADS  MathSciNet  Google Scholar 

  16. R J Oakes,Phys. Lett. B30, 262 (1969)

    ADS  Google Scholar 

  17. R Bonisch,Transition from SU(2)×SU(2)×U(1)representation to SU(2)×U(1)by q deformation and the corresponding classical breaking term of chiral SU(2), DESY 94–129 Preprint (July 1994)

  18. A Abbas and P Behara,Quantum group SU(2)and identical deformed bands in proximus odd and even nuclei, Inst. of Physics (Bhubaneswar) Preprint. IP/BBSR/92-39

  19. A S Zhedanov,Mod. Phys. Lett. A7, 507 (1992)

    ADS  MathSciNet  Google Scholar 

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Bagchi, B., Biswas, S.N. Aq deformation of Gell-Mann-Okubo mass formula. Pramana - J. Phys. 46, 223–227 (1996).

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  • Deformation
  • mass formula
  • chiral symmetry breaking


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  • 02.20