Skip to main content
Log in

Spin symmetry in the presence of a Killingbeck potential for a relativistic \(\Lambda\)-hypernuclei

  • Original Paper
  • Published:
Indian Journal of Physics Aims and scope Submit manuscript

Abstract

In this work, we investigate the spin symmetry of a hypernuclei by focusing on the \(\Lambda\)-hypernuclei. In this case, we solve the Dirac equation with scalar and vector Killingbeck potential and obtain energy eigenvalues and spinor wave functions for s-wave bound states by using the analytical method. Then, for some hypernuclei, their binding energy is reproduced. The results are in good agreement with corresponding experimental data.

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. A Parreño Weak Decays of Hypernuclei. Lecture Notes Physics, vol 724. (Berlin: Springer) p 141 (2007)

  2. A Armat and H Hassanabadi Can. J. Phys. 94 365 (2016)

    Article  ADS  Google Scholar 

  3. A Gal and D J Millener Hyperfine Interact 210 77 (2012)

    Article  ADS  Google Scholar 

  4. A Bansal, S Binder, A Ekström, G Hagen, G R Jansen and T Papenbrock Phys. Rev. C 98 054301 (2018)

    Article  ADS  Google Scholar 

  5. A Bouyssy Nucl. Phys. A 381 445 (1982)

    Article  ADS  Google Scholar 

  6. Y Sugahara and H Toki Prog. Theor. Phys. 92 803 (1994)

    Article  ADS  Google Scholar 

  7. S Balberg, A Gal and J Schaffner Prog. Theo. Phys. Suppl. 117 325 (1994)

    Article  ADS  Google Scholar 

  8. C Samanta J. Phys. G Nucl. Part. Phys. 37 075104 (2010)

    Article  ADS  Google Scholar 

  9. D E Lanskoy and Y Yamamoto Phys. Rev. C 55 2330 (1997)

    Article  ADS  Google Scholar 

  10. I Vidaña, A Polls, A Ramos and H J Schulze Phys. Rev. C 64 044301 (2001)

    Article  ADS  Google Scholar 

  11. C G Koutroulos and G J Papadopoulos Prog. Theor. Phys. 90 1039 (1993)

    Article  ADS  Google Scholar 

  12. E N E Van Dalen, G Colucci and A D Sedrakian Phys. Lett. B 734 383 (2014)

    Article  ADS  Google Scholar 

  13. B C Liu Nucl. Phys. A 914 295 (2013)

    Article  ADS  Google Scholar 

  14. A Ohnishi, S Cho, T Furumoto, T Hyodo, D Jido, C M Ko, K Morita, S H Lee, M Nielsen, T Sekihara, S Yasui and K Yazaki (ExHIC Collaboration) Nucl. Phys. A 914 377 (2013)

  15. S H Ren, T T Sun and W Zhang Phys. Rev. C 95 054318 (2017)

    Article  ADS  Google Scholar 

  16. K P Santhosha and C Nithya Eur. Phys. J. Plus 133 343 (2018)

    Article  Google Scholar 

  17. T Maruta et al. Decay asymmetry in non-mesonic weak decay of light \(\Lambda\)-hypernuclei. In: J Pochodzalla and T Walcher (eds.) Proceedings of The IX International Conference on Hypernuclear and Strange Particle Physics (Berlin: Springer) (2007)

  18. K P Santhosh and C Nithya J. Nucl. Phy. Mat. Sci. Rad. A 4 337 (2017)

    Article  Google Scholar 

  19. S Hassanabadi, M Ghominejad, S Zarrinkamar and H Hassanabadi Chin. Phys. B 22 060303 (2013)

  20. J David and C Fernández AIP Conf. Proc. 1287 3 (2010)

    Article  ADS  Google Scholar 

  21. H Hassanabadi, Z Derakhshani and S Zarrinkamar Acta Phys. Pol. A 129 3 (2016)

    Article  ADS  Google Scholar 

  22. J Y Guo and Z Q Sheng Phys. Lett. A 338 90 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  23. J N Ginocchio Phys. Rep. 414 165 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  24. H Hassanabadi, E Maghsoodi and S Zarrinkamar Commun. Theor. Phys. 58 807 (2012)

    Article  ADS  Google Scholar 

  25. A Arima, M Harvey and K Shimizu Phys. Lett. B 30 517 (1969)

    Article  ADS  Google Scholar 

  26. K T Hecht and A Adler Nucl. Phys. A 137 129 (1969)

    Article  ADS  Google Scholar 

  27. G F Wei and S H Dong Phys. Scr. 81 035009 (2010)

    Article  ADS  Google Scholar 

  28. G F Wei and S H Dong Phys. Lett. A 373 2428 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  29. G F Wei and S H Dong EPL 87 40004 (2009)

    Article  ADS  Google Scholar 

  30. G F Wei and S H Dong Phys. Lett. B 686 288 (2010)

    Article  ADS  Google Scholar 

  31. G F Wei, Z Z Zhen, S H Dong Centr. Eur. J. Phys. 7 175 (2009)

    ADS  Google Scholar 

  32. G F Wei and S H Dong Eur. Phys. J. A 46 207 (2010)

    Article  ADS  Google Scholar 

  33. H Akcay Phys. Lett. A 373 616 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  34. A Gal, E V Hungerford and D J Millener Rev. Mod. Phys. 88 035004 (2016)

    Article  ADS  Google Scholar 

  35. H Hassanabadi, M de Montigny and M Hosseinpour Ann. Phys. 412 168(2020)

    Article  Google Scholar 

  36. S H Dong Wave Equations in Higher Dimensions (Netherlands: Springer) (2011)

    Book  Google Scholar 

Download references

Acknowledgements

We wish to give our sincere gratitude to the referee for their positive and invaluable suggestions which have improved the present manuscript greatly.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to F. Moradi.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Moradi, F., Hassanabadi, H., Zare, S. et al. Spin symmetry in the presence of a Killingbeck potential for a relativistic \(\Lambda\)-hypernuclei. Indian J Phys 95, 2431–2435 (2021). https://doi.org/10.1007/s12648-020-01882-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12648-020-01882-5

Keywords

Navigation