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Baryon spectroscopy in a three-quark model

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Abstract.

In this paper, we present a three-body quark model for investigating the internal structure of baryons as well as baryon spectroscopy. In order to describe the SU(6) -invariant part of the spectrum, we assumed the spin-independent part of the interaction hypercentral, and treated using the hyperspherical formalism. For SU(6) -invariant potential, we used a generalized version of the popular “Coulomb-plus-linear” potential which contains “linear-plus-logarithmic” terms as confinement part and some inverse power terms. To obtain an analytical solution, we applied some approximations for dealing with problematic linear and logarithmic terms, leading to a qualitative reproducing of the spectrum. Then, to describe the hyperfine structure of the baryon and the splittings within the SU(6) -multiplets, we used the generalized Gürsey-Radicati Mass Formula as a SU(6) breaking interaction. Our calculations lead to a generally fair description of the baryon spectrum.

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References

  1. M.M. Giannini, E. Santopinto, Chin. J. Phys. 53, 020301 (2015)

    Google Scholar 

  2. M. Ferraris, M.M. Giannini, M. Pizzo, E. Santopinto, L. Tiator, Phys. Lett. B 364, 231 (1995)

    Article  ADS  Google Scholar 

  3. L.Ya. Glozman, D.O. Riska, Phys. Rep. C 268, 263 (1996)

    Article  ADS  Google Scholar 

  4. R. Bijker, F. Iachello, A. Leviatan, Ann. Phys. (N.Y.) 284, 89 (2000)

    Article  ADS  Google Scholar 

  5. Y. Sumino, Phys. Lett. B 571, 173 (2003)

    Article  ADS  Google Scholar 

  6. S. Bali, Phys. Rep. 343, 1 (2001)

    Article  ADS  Google Scholar 

  7. S. Bali et al., Phys. Rev. D 62, 054503 (2000)

    Article  ADS  Google Scholar 

  8. M.M. Giannini, E. Santopinto, A. Vassallo, Eur. Phys. J. A 25, 241 (2005)

    Article  ADS  Google Scholar 

  9. W. Melnitchouk et al., Phys. Rev. D 67, 114506 (2003)

    Article  ADS  Google Scholar 

  10. JLQCD Collaboration (S. Aoki et al.), Phys. Rev. D 68, 054502 (2003)

    Google Scholar 

  11. C. Alexandrou, P. de Forcrand, O. Jahn, Nucl. Phys. Proc. Suppl. 119, 667 (2003)

    Article  ADS  Google Scholar 

  12. M. Ferraris, M.M. Giannini, M. Pizzo, E. Santopinto, L. Tiator, Phys. Lett. B 364, 231 (1995)

    Article  ADS  Google Scholar 

  13. C.D. Lin, Phys. Rep. 257, 1 (1995)

    Article  ADS  Google Scholar 

  14. Yu.A. Simonov, Sov. J. Nucl. Phys. 3, 461 (1966)

    MathSciNet  Google Scholar 

  15. J. Ballot, M. Fabre de la Ripelle, Ann. Phys. (N.Y.) 127, 62 (1980)

    Article  ADS  Google Scholar 

  16. M.M. Giannini, E. Santopinto, A. Vassallo, Prog. Part. Nucl. Phys. 50, 263 (2003)

    Article  ADS  Google Scholar 

  17. V. Aqulanti, S. Tonzano, J. Chem. Phys. 126, 4066 (2004)

    Article  ADS  Google Scholar 

  18. F. Zernike, H.C. Brinkman, Proc. Kon. Ned. Acad. Wet. 33, 3 (1935)

    Google Scholar 

  19. E. Santopinto, M.M. Giannini, F. Iachello, Symmetries in Science VII, edited by B. Gruber (Plenum Press, New York, 1995) p. 445

  20. F. Iachello, in Symmetries in Science VII, edited by B. Gruber (Plenum Press, New York, 1995) p. 213

  21. L.Ya. Glozman, D.O. Riska, Phys. Rep. C 268, 263 (1996)

    Article  ADS  Google Scholar 

  22. N. Isgur, G. Karl, Phys. Rev. D 20, 1191 (1979)

    Article  ADS  Google Scholar 

  23. S. Bali et al., Phys. Rev. D 62, 054503 (2000)

    Article  ADS  Google Scholar 

  24. T. Kawanai, S. Sasaki, Phys. Rev. Lett. 107, 091601 (2011)

    Article  ADS  Google Scholar 

  25. C.L. Pekeris, Phys. Rev. 45, 98 (1934)

    Article  ADS  Google Scholar 

  26. R.L. Greene, C. Aldrich, Phys. Rev. A 143, 2363 (1976)

    Article  ADS  Google Scholar 

  27. C. Berkdemir, Nucl. Phys. A 770, 32 (2006)

    Article  ADS  Google Scholar 

  28. W.C. Qiang, S.H. Dong, Phys. Lett. A 368, 13 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  29. G.F. Wei, S.H. Dong, Phys. Lett. A 373, 2428 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  30. C. Tezcan, R. Sever, Int. J. Theor. Phys. 48, 337 (2009)

    Article  MathSciNet  Google Scholar 

  31. P.M. Morse, H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953)

  32. E. Santopinto, F. Iachello, M.M. Giannini, Eur. Phys. J. A 1, 307 (1998)

    Article  ADS  Google Scholar 

  33. F. Güersey, L.A. Radicati, Phys. Rev. Lett. 13, 173 (1964)

    Article  ADS  MathSciNet  Google Scholar 

  34. Particle Data Group (K.A. Olive et al.), Chin. Phys. C 38, 090001 (2014)

    Article  Google Scholar 

Download references

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Authors and Affiliations

  1. Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran

    M. Aslanzadeh & A. A. Rajabi

Authors
  1. M. Aslanzadeh
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  2. A. A. Rajabi
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Correspondence to M. Aslanzadeh.

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Aslanzadeh, M., Rajabi, A.A. Baryon spectroscopy in a three-quark model. Eur. Phys. J. Plus 131, 118 (2016). https://doi.org/10.1140/epjp/i2016-16118-3

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  • DOI: https://doi.org/10.1140/epjp/i2016-16118-3

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