Abstract
The parameter-independent (up to overall scale factors) predictions of the X(5)−β 2,X(5)−β 4, and X(3) models, which are variants of the X(5) critical point symmetry developed within the framework of the geometric collective model, are compared to two-parameter calculations in the framework of the interacting boson approximation (IBA) model. The results show that these geometricmodels coincide with IBA parameters consistentwith the phase/shape transition region of the IBA for boson numbers of physical interest (close to 10). 186Pt and 172Os are identified as good examples of X(3), while 146Ce, 174Os, and 158Er, 176Os are identified as good examples of X(5)−β 2 and X(5)−β 4 behavior, respectively
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
F. Iachello, Phys. Rev. Lett. 85, 3580 (2000).
F. Iachello, Phys. Rev. Lett. 87, 052502 (2001).
R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. 85,3584 (2000).
R. M. Clark et al., Phys. Rev. C 69, 064322 (2004).
R. F. Casten and N. V. Zamfir, Phys. Rev. Lett. 87, 052503 (2001).
R. M. Clark et al., Phys. Rev. C 68, 037301 (2003).
M. A. Caprio, Phys. Rev. C 69, 044307 (2004).
M. A. Caprio, Phys. Rev. C 72, 054323 (2005).
N. Pietralla and O.M. Gorbachenko, Phys. Rev.C 70, 011304(R) (2004).
D. Bonatsos, D. Lenis, N. Minkov, et al., Phys. Rev. C 69, 014302 (2004).
D. Bonatsos, D. Lenis, D. Petrellis, et al., Phys. Lett. B 632, 238 (2006).
D. H. Feng, R. Gilmore, and S. R. Deans, Phys. Rev. C 23, 1254 (1981).
F. Iachello and A. Arima, The Interacting Boson Model (Cambridge Univ. Press, Cambridge, 1987).
J. N. Ginocchio and M. W. Kirson, Phys. Rev. Lett. 44, 1744 (1980).
A. E. L. Dieperink, O. Scholten, and F. Iachello, Phys. Rev. Lett. 44, 1747 (1980).
R. F. Casten, Nuclear Structure from a Simple Perspective (Oxford Univ. Press, Oxford, 1990).
F. Iachello, N. V. Zamfir, and R. F. Casten, Phys. Rev. Lett. 81, 1191 (1998).
N. V. Zamfir, P. von Brentano, R. F. Casten, and J. Jolie, Phys. Rev. C 66, 021304 (2002).
F. Iachello and N. V. Zamfir, Phys. Rev. Lett. 92, 212501 (2004).
V. Werner, P. von Brentano, R. F. Casten, and J. Jolie, Phys. Lett. B 527, 55 (2002).
N. V. Zamfir and G. E. Fernandes, in Proceedings of the Eleventh International Symposium on CaptureGammaRaySpectroscopyandRelatedTopics, Prohonice, 2002, Ed. by J. Kvasil, P. Cejnar, and M. Krticka (World Sc., Singapore, 2003), p. 113.
J. Y. Zhang, R. F. Casten, and N. V. Zamfir, Phys. Lett. B 407, 201 (1997).
E. A. McCutchan, N. V. Zamfir, and R. F. Casten, Phys. Rev. C 71, 034309 (2005).
E. A. McCutchan, N. V. Zamfir, and R. F. Casten, Phys. Rev. C 69, 064306 (2004).
A. Bohr, K. Dan. Vidensk. Selsk., Mat. Fys. Medd. 26, 14 (1952).
E. López-Moreno and O. Castaños, Phys. Rev. C 54, 2374 (1996).
D. J. Rowe, Nucl. Phys. A 735, 372 (2004).
D. J. Rowe, P. S. Turner, and J. Repka, J.Math. Phys. 45, 2761 (2004).
D. J. Rowe and P. S. Turner, Nucl. Phys. A 753, 94 (2005).
E. A. McCutchan and N. V. Zamfir, Phys. Rev. C 71, 054306 (2005).
E. A. McCutchan, R. F. Casten, and N. V. Zamfir, Phys. Rev. C 71, 061301(R) (2005).
C. M. Baglin, Nucl. Data Sheets 99, 1 (2003).
J. C. Walpe, PhD Thesis (Univ. of Notre Dame, 1999).
B. Singh, Nucl. Data Sheets 75, 199 (1995).
L. K. Peker and J. K. Tuli, Nucl. Data Sheets 82, 187 (1997).
E. Browne and Huo Junde, Nucl. Data Sheets 87, 15 (1999).
R. G. Helmer, Nucl. Data Sheets 101, 325 (2004).
M. A. Basunia, Nucl. Data Sheets 107, 791 (2006).
J. M. Arias, C. E. Alonso, A. Vitturi, et al., Phys. Rev. C 68, 041302 (2003).
D. Bonatsos, D. Lenis, N. Minkov, et al., Phys. Rev. C 69, 044316 (2004).
D. Bonatsos, D. Lenis, D. Petrellis, and P. A. Terziev, Phys. Lett. B 588, 172 (2004).
D. Bonatsos, D. Lenis, D. Petrellis, et al., Phys. Lett. B 621, 102 (2005).
J. M. Arias, J. E. García-Ramos, and J. Dukelsky, Phys. Rev. Lett. 93, 212501 (2004).
M. A. Caprio and F. Iachello, Phys. Rev. Lett. 93, 242502 (2004).
M. A. Caprio and F. Iachello, Ann. Phys. (N.Y.) 318, 454 (2005).
J. E. García-Ramos, J. Dukelsky, and J. M. Arias, Phys. Rev. C 72, 037301 (2005).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
McCutchan, E.A., Bonatsos, D. & Zamfir, N.V. Connecting the X(5)−β 2, X(5)−β 4, and X(3) models to the shape/phase transition region of the interacting boson model. Phys. Atom. Nuclei 70, 1462–1469 (2007). https://doi.org/10.1134/S1063778807080236
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063778807080236