Abstract To compare with the predictions of the transitional dynamical symmetry X(5) proposed by Iachello (2001 Phys. Rev. Lett. 87 052502), the critical behaviours of U(5)--SU(3) are studied in the space of two control parameters in the interacting boson model (IBM). A simple-shaped phased diagram has been presented. It is found that X(5) predictions cannot be exactly reproduced by our calculations and that the best agreement is close to the calculations with boson numbers N = 11 and 12. By comparing with experimental data on X(5)-like nuclei, we find that X(5) predictions and IBM calculations can reproduce the energy ratios and E2 transition ones.
Received: 26 July 2006
Revised: 22 January 2007
Accepted manuscript online:
Fund: Project
supported in part by the National Natural Science Foundation of China (Grant
Nos~10265001 and 10547003), the Natural Science Foundation of Inner
Mongolian, China (Grant No~200607010111), and Chifeng College Scientific
Research Fund of China (Grant
Cite this article:
Zhang Jin-Fu(张进富), Lü Li-Jun(吕立君), and Bai Hong-Bo(白洪波) Critical behaviour in nuclear structure from spherical to axially symmetric deformed shape in IBM 2007 Chinese Physics 16 1941
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