Skip to main content
Log in

Systematic study of hypernuclear magnetic moments under a perturb treatment

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

Abstract

Hypernuclei ranged from light to heavy mass are systematically investigated using a relativistic mean-field (RMF) model with a novel proposed ωΛΛ tensor coupling interaction PK1-Y1. The tensor coupling effect on core polarization, and the orbital contribution to hyperon current are discussed. Contributions to the magnetic moment from and n −1 Λ systems are found to be opposite. An expression of the magnetic moment under perturb treatment is improved with an ωΛΛ tensor coupling and the core-polarized magnetic moment μ pol. D is found to be approximately proportional to the coupling strength g ωN · g 2ωλ . Self-consistent calculations under a perturb treatment show a semi-linear relationship as μ pol. D g ωλ when g ωN is fixed.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. O. Hashimoto, H. Tamura, Prog. Part. Nucl. Phys. 57, 564 (2006).

    Article  ADS  Google Scholar 

  2. T. Nagae, Nucl. Phys. A 805, 486c (2008).

    Article  ADS  Google Scholar 

  3. The HypHI Collaboration (T. Fukuda, T. Saito), Nucl. Phys. A 790, 161 (2007).

    Article  ADS  Google Scholar 

  4. P. Achenbach et al., IEEE Trans. Nucl. Sci. 56, 316 (2009).

    Article  ADS  Google Scholar 

  5. T. Yamazaki, Phys. Lett. B 160, 227 (1985).

    Article  ADS  Google Scholar 

  6. Y. Tanaka, Prog. Theor. Phys. 82, 96 (1989).

    Article  ADS  Google Scholar 

  7. Y. Tanaka, Phys. Lett. B 227, 195 (1989).

    Article  ADS  Google Scholar 

  8. H. Margenau, Phys. Rev. 57, 383 (1940).

    Article  ADS  Google Scholar 

  9. R.J. Furnstahl, B.D. Serot, Nucl. Phys. A 468, 539 (1987).

    Article  ADS  Google Scholar 

  10. J.D. Bjorken, S.D. Drell, Relativistic Quantum Mechanics (Mc-. Graw Hill, New York, 1964).

  11. B.K. Jennings, Phys. Lett. B 246, 325 (1990).

    Article  ADS  Google Scholar 

  12. A.O. Gattone, M. Chiapparini, E.D. Izquierdo, Phys. Rev. C 44, 548 (1991).

    Article  ADS  Google Scholar 

  13. J. Cohen, Phys. Rev. C 48, 1346 (1993).

    Article  ADS  Google Scholar 

  14. J.M. Yao, H.F. Lü, G. Hillhouse, J. Meng, Chin. Phys. Lett. 25, 1629 (2008).

    Article  ADS  Google Scholar 

  15. X. Wang, submitted to Commun. Theor. Phys. (2013).

  16. J. Cohen, R.J. Furnstahl, Phys. Rev. C 35, 2231 (1987).

    Article  ADS  Google Scholar 

  17. D. Vretenar, A.V. Afanasjev, G.A. Lalazissis, P. Ring, Phys. Rep. 409, 101 (2005).

    Article  ADS  Google Scholar 

  18. J. Cohen, H.J. Weber, Phys. Rev. C 44, 1181 (1991).

    Article  ADS  Google Scholar 

  19. M. Chiapparini, A.O. Gattone, B.K. Jennings, Nucl. Phys. A 529, 589 (1991).

    Article  ADS  Google Scholar 

  20. W.H. Long, J. Meng, N. Van Giai, S.-G. Zhou, Phys. Rev. C 69, 034319 (2004).

    Article  ADS  Google Scholar 

  21. P.-G. Reinhard, M. Rufa, J. Maruhn, W. Greiner, J. Friedrich, Z. Phys. A 323, 13 (1986).

    ADS  Google Scholar 

  22. M.M. Sharma, M.A. Nagarajan, P. Ring, Phys. Lett. B 312, 377 (1993).

    Article  ADS  Google Scholar 

  23. N.J. Stone, Table of Nuclear Magnetic Dipole and Electric Quadrupole Moments (2001).

  24. J. Cohen, J.V. Noble, Phys. Rev. C 46, 801 (1992).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. F. Lü.

Additional information

Communicated by A. Ramos

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, X.S., Sang, H.Y., Lü, H.F. et al. Systematic study of hypernuclear magnetic moments under a perturb treatment. Eur. Phys. J. A 49, 101 (2013). https://doi.org/10.1140/epja/i2013-13101-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2013-13101-1

Keywords

Navigation