In this paper, a transitional interacting boson model (IBM) Hamiltonian in both sd-(IBM) and sdg-IBM versions based on affine $S U (1, 1)$ Lie algebra is employed to describe deviations from the gamma-unstable nature of Hamiltonian along the chain of Xe isotopes. sdg-IBM Hamiltonian proposed a better interpretation of this deviation which cannot be explained in the $s d$ -boson models. The nuclei studied have well-known $γ$ bands close to the $γ$ -unstable limit. The energy levels, $B (E 2)$ transition rates and signature splitting of the $γ$ -vibrational band are calculated via the affine SU(1,1) Lie algebra. An acceptable degree of agreement was achieved based on this procedure. It is shown that in these isotopes the signature splitting is better reproduced by the inclusion of sdg-IBM. In none of them, any evidence for a stable, triaxial ground state shape is found.

Keywords:

PACS: 21.60.Fw

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References

1. P. Cejnar, J. Jolie and R. F. Casten, Rev. Mod. Phys. 82 (2010) 2155. Web of Science, ADS, Google Scholar
2. R. F. Casten, Nat. Phys. 2 (2006) 811. Web of Science, ADS, Google Scholar
3. L. Wilets and M. Jean, Phys. Rev. 102 (1956) 788. Web of Science, ADS, Google Scholar
4. A. S. Davydov and G. F. Filippov, Nucl. Phys. 8 (1958) 237. Web of Science, ADS, Google Scholar
5. G. Gneuss and W. Greiner, Nucl. Phys. A 171 (1971) 449, P. O. Hess, J. Maruhn and W. Greiner, J. Phys. G 7 (1981) 737. Google Scholar
6. F. Iachello, Lie Algebras and Applications, Lecture Notes in Physics, Vol. 708, (Springer, Berlin, 2006). Google Scholar
7. F. Iachello and A. Arima, in The Interacting Boson Model, Cambridge Monographs on Mathematical Physics, (Cambridge University Press, New York, 1987). Google Scholar
8. D. J. Rowe, Nucl. Phys. A 735 (2004) 372. Web of Science, ADS, Google Scholar
9. D. J. Rowe, T. A. Welsh and M. A. Caprio, Phys. Rev. C 79 (2009) 054304. Web of Science, ADS, Google Scholar
10. P. van Isacker and J. Q. Chen, Phys. Rev. C 24 (1981) 684. Web of Science, ADS, Google Scholar
11. J. E. Garca-Ramos, C. E. Alonso, J. M. Arias and P. Van Isacker, Phys. Rev. C 61 (2000) 047305. Web of Science, ADS, Google Scholar
12. R. F. Casten, P. Von Brentano, K. Heyde, P. Van Isacker and J. Jolie, Nucl. Phys. A 439 (1985) 289. Web of Science, ADS, Google Scholar
13. K. Heyde, P. Van Isaker, M. Waroquier and J. Moreau, Phys. Rev. C 29 (1984) 1420. Web of Science, ADS, Google Scholar
14. S. Kuyucak and I. Morrison, Phys. Lett. B 255 (1991) 305. Web of Science, ADS, Google Scholar
15. Y. D. Devi and V. K. B. Kota, Pramana J. Phys. 39 (1992) 413. Web of Science, ADS, Google Scholar
16. P. Van Isacker, A. Bouldjedri and S. Zerguine, Nucl. Phys. A 836 (2010) 225. Web of Science, ADS, Google Scholar
17. N. V. Zamfir, W. T. Chou and R. F. Casten, Phys. Rev. C. 57 (1998) 427. Web of Science, ADS, Google Scholar
18. U. Meyer, A. Faessler and S. B. Khadkikar, Nucl. Phys. A 624 (1997) 391. Web of Science, ADS, Google Scholar
19. P. F. Mantica Jr., B. E. Zimmerman, W. B. Walters, J. Rikovska and N. J. Stone, Phys. Rev. C 45 (1992) 1586. Web of Science, ADS, Google Scholar
20. C. Girit, W. D. Hamilton and E. Michelakakis, J. Phys. G, Nucl. Phys. 6 (1980) 1025. Web of Science, ADS, Google Scholar
21. N. Turkan, J. Phys. G, Nucl. Part. Phys. 34 (2007) 2235. Web of Science, ADS, Google Scholar
22. A. Gade, I. Wiedenhover, J. Gableske, A. Gelberg, H. Meise, N. Pietralla and P. von Brentano, Nucl. Phys. A 665 (2000) 268. Web of Science, ADS, Google Scholar
23. F. Pan and J. Draayer, Nucl. Phys. A 636 (1998) 156. Web of Science, ADS, Google Scholar
24. F. Pan, X. Zhang and J. Draayer, J. Phys. A, Math. Gen. 35 (2002) 7173. ADS, Google Scholar
25. F. Pan, J. P. Draayer and W. E. Ormand, Phys. Lett. B 422 (1998). Web of Science, Google Scholar
26. National nuclear data center, http://www.nndc.bnl.gov/chart/reColor.jspnew/Color=dm. Google Scholar
27. V. K. B. Kota, H. De Meyer, J. V. Jeugt and G. V. Berghe, J. Math. Phys. 28 (1987) 1644. Web of Science, ADS, Google Scholar
28. N. V. Zamfir and R. F. Casten, Phys. Lett. B 260 (1991) 265. Web of Science, ADS, Google Scholar
29. B. Sorgunlu and P. Van Isacker, Nucl. Phys. A 808 (2008) 27. Web of Science, ADS, Google Scholar