Research ArticlesNo Access

Investigation of the Morse potential for the hybrid model and the one combining the E(5) and X(3) symmetries

H. Hassanabadi

Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

Search for more papers by this author

and

M. Alimohammadi

Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

E-mail Address: motahareh.alimohammadi@gmail.com

Corresponding author.

Search for more papers by this author

https://doi.org/10.1142/S0218301318500532Cited by:1 (Source: Crossref)

Abstract

The present work is aimed at considering the recent forms of Bohr Hamiltonian, which are namely the hybrid model and the model combining the X(3) and E(5) symmetries, in the presence of the $β$ $β$ -dependent Morse potential. The energy spectra and the transition rates of each model have been obtained. Some nuclei, the isotopes of Ru, Pd, Xe and $^{134}$ $^{134}$ Ba, have been fitted by using the three-parameter solution of the combined Hamiltonian with the Morse potential. Also, a few nuclei have been fitted by using the four-parameter solution of the hybrid model. In order to evaluate our results, in addition to reporting the root mean square (rms), we compare our data for each nucleus with the corresponding results of other references.

Keywords:

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

1. A. Bohr, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 26 (1952) 1. Web of Science, Google Scholar
2. A. Bohr and B. Mottelson, Mat. Fys. Medd. K. Dan. Vidensk. Selsk. 27 (1953) 1. Web of Science, Google Scholar
3. F. Iachello, Phys. Rev. Lett. 85 (2000) 3580. Web of Science, ADS, Google Scholar
4. F. Iachello, Phys. Rev. Lett. 87 (2001) 052502. Web of Science, ADS, Google Scholar
5. D. Bonatsos et al., Phys. Lett. B 632 (2006) 238. Web of Science, ADS, Google Scholar
6. F. Iachello, Phys. Rev. Lett. 91 (2003) 132502. Web of Science, ADS, Google Scholar
7. D. Bonatsos, D. Lenis, D. Petrellis and P. A. Terziev, Phys. Lett. B 588 (2004) 172. Web of Science, ADS, Google Scholar
8. D. Bonatsos, D. Lenis, D. Petrellis, P. A. Terziev and I. Yigitoglu, Phys. Lett. B 621 (2005) 102. Web of Science, ADS, Google Scholar
9. Y. Zhang, F. Pan, Y.-X. Liu, Y.-A. Luo and J. P. Draayer, Phys. Rev. C 96 (2017) 034323. Web of Science, ADS, Google Scholar
10. Y. Zhang, F. Pan, Y.-A. Luo and J. P. Draayer, Phys. Lett. B 751 (2015) 423. Web of Science, ADS, Google Scholar
11. P. Holmberg and P. O. Lipas, Nucl. Phys. A 117 (1968) 552. Web of Science, ADS, Google Scholar
12. G. Scharff-Goldhaber and J. Weneser, Phys. Rev. 98 (1955) 212. Web of Science, ADS, Google Scholar
13. H. Ejiri, M. Ishihara and M. Sakai, J. Phys. Soc. Japan 24 (1968) 1189. ADS, Google Scholar
14. M. A. Caprio and F. Iachello, Nucl. Phys. A 781 (2007) 26. Web of Science, ADS, Google Scholar
15. J. P. Elliott, J. A. Evans and P. Park, Phys. Lett. B 169 (1986) 309. Web of Science, ADS, Google Scholar
16. R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. 85 (2000) 3584. Web of Science, ADS, Google Scholar
17. D. Bonatsos, D. Lenis, N. Minkov, D. Petrellis, P. P. Raychev and P. A. Terziev, Phys. Rev. C 70 (2004) 024305. Web of Science, ADS, Google Scholar
18. I. Boztosun, D. Bonatsos and I. Inci, Phys. Rev. C 77 (2008) 044302. Web of Science, ADS, Google Scholar
19. M. Chabab, A. Lahbas and M. Oulne, Eur. Phys. J. A 51 (2015) 131. ADS, Google Scholar
20. P. Buganu and R. Budaca, J. Phys. G: Nucl. Part. Phys. 42 (2015) 105106. Web of Science, ADS, Google Scholar
21. M. Alimohammadi and H. Hassanabadi, Int. J. Mod. Phys. E 25 (2016) 1650087. Link, ADS, Google Scholar
22. A. S. Davydov and A. A. Chaban, Nucl. Phys. 20 (1960) 499. Web of Science, Google Scholar
23. P. Buganu and R. Budaca, Phys. Rev. C 91 (2015) 014306. Web of Science, ADS, Google Scholar
24. R. Budaca and A. I. Budaca, J. Phys. G: Nucl. Part. Phys. 42 (2015) 085103. Web of Science, Google Scholar
25. R. Budacaa and A. I. Budaca, Eur. Phys. J. A 51 (2015) 126. Web of Science, ADS, Google Scholar
26. R. Budaca and A. I. Budaca, Phys. Rev. C 94 (2016) 054306. Web of Science, ADS, Google Scholar
27. R. Budaca and A. I. Budaca, Phys. Lett. B 759 (2016) 349. Web of Science, ADS, Google Scholar
28. M. Alimohammadi and H. Hassanabadi, Eur. Phys. J. A 53 (2017) 129. Web of Science, ADS, Google Scholar
29. D. R. Bes, Nucl. Phys. 10 (1959) 373. Web of Science, Google Scholar
30. G. Rakavy, Nucl. Phys. 4 (1957) 289. Web of Science, Google Scholar
31. D. J. Rowe, P. S. Turner and J. Repka, J. Math. Phys. 45 (2004) 2761. Web of Science, ADS, Google Scholar
32. L. Fortunato, Eur. Phys. J. A 26 (2005) 1. Web of Science, ADS, Google Scholar
33. F. Iachello and A. Arima, The Interacting Boson Model (Cambridge University Press, Cambridge, 1987), p. 250. Google Scholar
34. P. M. Morse, Phys. Rev. 34 (1929) 57. ADS, Google Scholar
35. C. L. Pekeris, Phys. Rev. 45 (1934) 98. ADS, Google Scholar
36. A. F. Nikiforov and V. B. Uvarov, Special Functions of Mathematical Physics (Birkhäuser, Basel, 1988). Google Scholar
37. A. C. Gheorghe, A. A. Raduta and A. Faessler, Phys. Lett. B 648 (2007) 171. Web of Science, ADS, Google Scholar
38. A. A. Raduta and P. Buganu, Phys. Rev. C 88 (2013) 064328. Web of Science, ADS, Google Scholar
39. A. Frank et al., Phys. Rev. C 65 (2001) 014301. Web of Science, ADS, Google Scholar
40. D. Radeck et al., Phys. Rev. C 80 (2009) 044331. Web of Science, ADS, Google Scholar
41. L. Coquard et al., Phys. Rev. C 80 (2009) 061304. Web of Science, ADS, Google Scholar
42. http://www.nndc.bnl.gov/ensdf. Google Scholar
43. R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. 87 (2001) 052503. Web of Science, ADS, Google Scholar
44. R. Budaca, Eur. Phys. J. A 52 (2016) 314. Web of Science, ADS, Google Scholar
45. D. J. Rowe, J. Phys. A: Math. Gen. 38 (2005) 10181. ADS, Google Scholar
46. D. J. Rowe and P. S. Turner, Nucl. Phys. A 753 (2005) 94. Web of Science, ADS, Google Scholar
47. I. Inci, D. Bonatsos and I. Boztosun, Phys. Rev. C 84 (2011) 024309. Web of Science, ADS, Google Scholar
48. Y. Zhang et al., Phys. Rev. C 90 (2014) 064318. Web of Science, ADS, Google Scholar