摘要
Comparing with the predictions of the transitional dynamical symmetry E（5） proposed by Iachello [Phys. Rev. Lett. 85 （2000） 3580], the critical behaviors from U（5）-0（6） are studied in the space of two control parameters in the interacting boson model. A simple shape phase diagram has been presented. It is found that E（5） predictions cannot be exactly reproduced by our calculations and that the best agreement is close to the calculations with boson number N = 9. By comparing with experimental data on E（5）-like nuclei, we find that E（5） predictions and IBM calculations can reproduce the energy ratios and E2 transition ones.
基金
The project supported in part by National Natural Science Foundation of China under Grant Nos. 10265001 and 10547003, the Natural Science Foundation of Inner Mongolian under Grant No. 200607010111, and the Key Scientific Research Fund of Educational Bureau of Inner Mongolian under Grant No. NJ05007 .Acknowledgments The authors are greatly indebted to Prof. G.L. Long for his continuing interest in this work and his many suggestions.
