摘要
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.
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.
基金
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 No ZRZD200604）. Acknowledgement The authors are greatly indebted to Professor Long G L for his continuing interest in this work and his many suggestions.
