Skip to main content
Log in

Could the static properties of nuclei be deduced from the dynamics of a single quark?

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract.

We show that the static properties of a nucleus could arise from a single quark moving in a mean field generated by all other constituents of this nucleus. The resulting model provides a way for determining the nuclear sizes characteristic of the liquid-drop model, and reasonably accurate values of magnetic moments of different nuclei with the aid of two parameters \( \alpha_s\) and \( \sigma\) appearing in the Cornell potential intended for use in quarkonium physics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Bleuler et al., Z. Naturforsch. 38a, 705 (1983)

    ADS  Google Scholar 

  2. H.R. Petry et al., Phys. Lett. B 159, 363 (1985)

    Article  ADS  Google Scholar 

  3. A. Arima, K. Yazaki, H. Bohr, Phys. Lett. B 183, 131 (1987)

    Article  ADS  Google Scholar 

  4. I. Talmi, Phys. Lett. B 205, 140 (1988)

    Article  ADS  Google Scholar 

  5. F.E. Close, An Introduction to Quarks and Partons (Academic, New York, 1979)

  6. K. Maltman, G.J. Stephenson jr., T. Goldman, Phys. Lett. B 324, 1 (1994)

    Article  ADS  Google Scholar 

  7. B.P. Kosyakov, E.Yu. Popov, M.A. Vronskiı, Phys. Lett. B 744, 28 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  8. J.D. Walecka, Theoretical Nuclear and Subnuclear Physics, 2nd edition (World Scientific, Singapore, 2004) chapt. 5

  9. L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29 (1950)

    Article  ADS  Google Scholar 

  10. K.M. Case, Phys. Rev. 95, 1323 (1954)

    Article  ADS  MathSciNet  Google Scholar 

  11. R.P.M. Romero, M. Moreno, A. Zentella, Phys. Rev. D 43, 2036 (1991)

    Article  ADS  Google Scholar 

  12. J.N. Ginocchio, Phys. Rep. 414, 165 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  13. H. Liang, J. Meng, S.-G. Zhou, Phys. Rep. 570, 1 (2015) arXiv:1411.6774

    Article  ADS  MathSciNet  Google Scholar 

  14. E. Eichten et al., Phys. Rev. Lett. 34, 369 (1975)

    Article  ADS  Google Scholar 

  15. P.R. Page, T. Goldman, J.N. Ginocchio, Phys. Rev. Lett. 86, 204 (2001) arXiv:hep-ph/0002094

    Article  ADS  Google Scholar 

  16. E. Eichten et al., Phys. Rev. D 21, 203 (1980)

    Article  ADS  Google Scholar 

  17. T. Barnes, S. Godfrey, E.S. Swanson, Phys. Rev. D 72, 054026 (2005) arXiv:hep-ph/0505002

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  19. J.N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997) arXiv:nucl-th/9611044

    Article  ADS  Google Scholar 

  20. J. Dittrich, P. Exner, J. Math. Phys. 26, 2000 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  21. J.N. Ginocchio, Phys. Rev. C 59, 2487 (1999) arXiv:nucl-th/9812025

    Article  ADS  Google Scholar 

  22. P. Bicudo, E. Ribeiro, R. Fernandes, Phys. Rev. C 59, 1107 (1999) arXiv:hep-ph/9806243

    Article  ADS  Google Scholar 

  23. M. Mekhfi, Phys. Rev. D 72, 114014 (2005) arXiv:hep-ph/0510059

    Article  ADS  Google Scholar 

  24. G.H. Fuller, J. Phys. Chem. Ref. Data 5, 835 (1976)

    Article  ADS  Google Scholar 

  25. W. Park, A. Park, S.H. Lee, Phys. Rev. D 92, 014037 (2015) arXiv:1506.01123 [nucl-th]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. P. Kosyakov.

Additional information

Communicated by R. Alkofer

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kosyakov, B.P., Popov, E.Y. & Vronskiĭ, M.A. Could the static properties of nuclei be deduced from the dynamics of a single quark?. Eur. Phys. J. A 53, 82 (2017). https://doi.org/10.1140/epja/i2017-12275-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2017-12275-8

Navigation