Skip to main content
Log in

Electric quadrupole transitions of deformed nuclei via Davidov-Chaban Hamiltonian within the Kratzer potential

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract.

In this work, we investigate energy spectra, corresponding wave functions and the electric quadrupole probability transition rate for even-even nuclei using the collective model and the Davydov-Chaban Hamiltonian. Within the Kratzer potential for the \(\beta\) part and \(\gamma\) fixed at \(30^{\circ}\), we compare our results with the experimental ones to show our model’s accuracy.

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. A. Bohr, Mat. Fys. Medd. K. Dan. Vid. Selsk. 26, 1 (1952)

    Google Scholar 

  2. A. Bohr, B.R. Mottelson, Nuclear Structure, Vol. II (Benjamin, New York, 1975)

  3. F. Iachello, Phys. Rev. Lett. 85, 3580 (2000)

    Article  ADS  Google Scholar 

  4. R. Budaca, A. Budaca, J. Phys. G: Nucl. Part. Phys. 42, 085103 (2015)

    Article  ADS  Google Scholar 

  5. I. Boztosun, D. Bonatsos, I. Inci, Phys. Rev. C 77, 044302 (2008)

    Article  ADS  Google Scholar 

  6. I. Inci, D. Bonatsos, I. Boztosun, Phys. Rev. C 84, 024309 (2011)

    Article  ADS  Google Scholar 

  7. L. Fortunato, Eur. Phys. J. A 26, 1 (2005)

    Article  ADS  Google Scholar 

  8. D. Bonatsos et al., Phys. Rev. C 88, 034316 (2013)

    Article  ADS  Google Scholar 

  9. D. Bonatsos et al., Phys. Rev. C 76, 064312 (2007)

    Article  ADS  Google Scholar 

  10. D. Bonatsos et al., Phys. Rev. C 83, 044321 (2011)

    Article  ADS  Google Scholar 

  11. G. Lévai, J. Arias, Phys. Rev. C 69, 014304 (2004)

    Article  ADS  Google Scholar 

  12. G. Lévai, J. Arias, Phys. Rev. C 81, 044304 (2010)

    Article  ADS  Google Scholar 

  13. P. Buganu, R. Budaca, J. Phys. G: Nucl. Part. Phys. 42, 105106 (2015)

    Article  ADS  Google Scholar 

  14. P. Buganu, A. Raduta, A. Faessler, J. Phys. G: Nucl. Part. Phys. 39, 025103 (2012)

    Article  ADS  Google Scholar 

  15. A. Raduta, P. Buganu, Phys. Rev. C 83, 034313 (2011)

    Article  ADS  Google Scholar 

  16. A. Raduta, P. Buganu, J. Phys. G: Nucl. Part. Phys. 40, 025108 (2013)

    Article  ADS  Google Scholar 

  17. A. Raduta, P. Buganu, Phys. Rev. C 88, 064328 (2013)

    Article  ADS  Google Scholar 

  18. R. Budaca, arXiv:1405.3945 (2014)

  19. M. Çapak et al., J. Phys. G: Nucl. Part. Phys. 42, 095102 (2015)

    Article  ADS  Google Scholar 

  20. M. Chabab, A. Lahbas, M. Oulne, arXiv:1510.04525 (2015)

  21. F. Iachello, Phys. Rev. Lett. 87, 052502 (2001)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  23. P. Buganu, R. Budaca, Phys. Rev. C 91, 014306 (2015)

    Article  ADS  Google Scholar 

  24. N. Zamfir, R. Casten, Phys. Lett. B 260, 265 (1991)

    Article  ADS  Google Scholar 

  25. E. McCutchan et al., Phys. Rev. C 76, 024306 (2007)

    Article  ADS  Google Scholar 

  26. A.S. Davydov, A.A. Chaban, Nucl. Phys. 20, 499 (1960)

    Article  Google Scholar 

  27. E.R. Marshalek, Theory of Collective Vibrations of Even-Even Spheroidal Nuclei (Lawrence Radiation Lab, 1962)

  28. B.J. Raz, Phys. Rev. 114, 1116 (1959)

    Article  ADS  Google Scholar 

  29. D. Bonatsos et al., Phys. Lett. B 588, 172 (2004)

    Article  ADS  Google Scholar 

  30. W. Greiner, J.A. Maruhn, Nuclear Models (Springer, 1996)

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. Heydari.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Heydari, A., Hamzavi, M. & Bigdeli, M. Electric quadrupole transitions of deformed nuclei via Davidov-Chaban Hamiltonian within the Kratzer potential. Eur. Phys. J. Plus 133, 322 (2018). https://doi.org/10.1140/epjp/i2018-12066-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/i2018-12066-2

Navigation