Skip to main content
SpringerLink
Log in

Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential

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

Abstract.

In this paper, we present new analytical solutions of the Bohr Hamiltonian problem that we derived with the Tietz-Hua potential, here used for describing the \( \beta\) -part of the nuclear collective potential plus that of the harmonic oscillator for the \( \gamma\) -part. Also, we proceed to a systematic comparison of the numerical results obtained with this kind of \( \beta\) -potential with others which are widely used in such a framework as well as with the experiment. The calculations are carried out for energy spectra and electromagnetic transition probabilities for \( \gamma\) -unstable and axially symmetric deformed nuclei. In the same frame, we show the effect of the shape flatness of the \( \beta\) -potential beyond its minimum on transition rates calculations.

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

Access this article

Log in via an institution

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. Vidensk. Selsk 26, 1 (1952)

    Google Scholar 

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

  3. F. Iachello, A. Arima, The Interacting Boson Model (Cambridge University Press, 1987)

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  6. D. Bonatsos, D. Lenis, D. Petrellis, P. Terziev, I. Yigitoglu, Phys. Lett. B 632, 238 (2006)

    Article  ADS  Google Scholar 

  7. M. Chabab, A. El Batoul, A. Lahbas, M. Oulne, Phys. Lett. B 758, 212 (2016)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  10. I. Inci, Int. J. Mod. Phys. E 23, 1450053 (2014)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. D. Bonatsos, P.E. Georgoudis, N. Minkov, D. Petrellis, C. Quesne, Phys. Rev. C 88, 034316 (2013)

    Article  ADS  Google Scholar 

  13. D. Bonatsos, P.E. Georgoudis, D. Lenis, N. Minkov, C. Quesne, Phys. Rev. C 83, 044321 (2011)

    Article  ADS  Google Scholar 

  14. D. Bonatsos, E.A. McCutchan, N. Minkov, R.F. Casten, P. Yotov, D. Lenis, D. Petrellis, I. Yigitoglu, Phys. Rev. C 76, 064312 (2007)

    Article  ADS  Google Scholar 

  15. P. Buganu, A. Raduta, Rom. J. Phys. 60, 161 (2015)

    Google Scholar 

  16. M. Chabab, A. Lahbas, M. Oulne, Phys. Rev. C 91, 064307 (2015)

    Article  ADS  Google Scholar 

  17. G. Lévai, Phys. Rev. C 69, 014304 (2004)

    Article  ADS  Google Scholar 

  18. G. Lévai, Phys. Rev. C 81, 044304 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  24. M. Chabab, A. Lahbas, M. Oulne, Eur. Phys. J. A 51, 131 (2015)

    Article  ADS  Google Scholar 

  25. M. Çapak, J. Phys. G: Nucl. Phys. 42, 095102 (2015)

    Article  ADS  Google Scholar 

  26. M. Chabab, A. Lahbas, M. Oulne, Int. J. Mod. Phys. E 24, 1550089 (2015)

    Article  ADS  Google Scholar 

  27. M. Chabab, A. El Batoul, A. Lahbas, M. Oulne, Nucl. Phys. A 953, 158 (2016)

    Article  ADS  Google Scholar 

  28. T. Tietz, J. Chem. Phys. 38, 3036 (1963)

    Article  ADS  Google Scholar 

  29. W. Hua, Phys. Rev. A 42, 2524 (1990)

    Article  ADS  Google Scholar 

  30. M. Hamzavi, A. Rajabi, H. Hassanabadi, Mol. Phys. 110, 389 (2012)

    Article  ADS  Google Scholar 

  31. A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics (Birkhauser, Basel, 1988)

  32. L. Wilets, M. Jean, Phys. Rev. 102, 788 (1956)

    Article  ADS  Google Scholar 

  33. D.R. Bés, Nucl. Phys. 10, 373 (1959)

    Article  Google Scholar 

  34. G. Rakavy, Nucl. Phys. 4, 289 (1957)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  36. D. Bonatsos, D. Lenis, E. McCutchan, D. Petrellis, I. Yigitoglu, Phys. Lett. B 649, 394 (2007)

    Article  ADS  Google Scholar 

  37. C. Pekeris, Phys. Rev. 45, 98 (1934)

    Article  ADS  Google Scholar 

  38. D. Bonatsos, P. Georgoudis, D. Lenis, N. Minkov, C. Quesne, Phys. Lett. B 683, 264 (2010)

    Article  ADS  Google Scholar 

  39. http://www.nndc.bnl.gov/nndc/ensdf/

  40. Y. Alhassid, N. Whelan, Phys. Rev. Lett. 67, 816 (1991)

    Article  ADS  Google Scholar 

  41. J. Jolie, R. Casten, P. Cejnar, S. Heinze, E. McCutchan, N. Zamfir, Phys. Rev. Lett. 93, 132501 (2004)

    Article  ADS  Google Scholar 

  42. R. Casten, Nuclear Structure From a Simple Perspective (Oxford University Press, 2000)

  43. R.F. Casten, Nat. Phys. 2, 811 (2006)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. High Energy Physics and Astrophysics Laboratory, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O.B. 2390, Marrakesh, Morocco

    M. Chabab, A. El Batoul, A. Lahbas & M. Oulne

  2. Department of Physics, University of Zanjan, P.O. Box 45195-313, Zanjan, Iran

    M. Hamzavi

Authors
  1. M. Chabab
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. El Batoul
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Hamzavi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Lahbas
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. M. Oulne
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Oulne.

Additional information

Communicated by B. Ananthanarayan

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chabab, M., El Batoul, A., Hamzavi, M. et al. Excited collective states of nuclei within Bohr Hamiltonian with Tietz-Hua potential. Eur. Phys. J. A 53, 157 (2017). https://doi.org/10.1140/epja/i2017-12343-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2017-12343-1

Search

Navigation