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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)-O(6)are studied in the space of two control parameters inthe interacting boson model.A simple shape phase diagram has been presented.It is found that E(5)predictions cannotbe exactly reproduced by our calculations and that the best agreement is close to the calculations with boson numberN=9.By comparing with experimental data on E(5)-like nuclei,we find that E(5)predictions and IBM calculationscan reproduce the energy ratios and E2 transition ones.
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) -O (6) are studied in the space of two control parameters inthe interacting boson model. A simple shape phase diagram has been presented. It is found that E (5) predictions cannotbe exactly reproduced by our calculations and that the best agreement is close to the calculations with boson numberN = 9.By comparing with experimental data on E (5) -like nuclei, we find that E (5) predictions and IBM calculationscan reproduce the energy ratios and E2 transitions.