Explore The Quantum Phase Transition From The Vibrational To Rotational Limit By An O(6) Cubic Interaction

With the framework of Interacting Boson Model(IBM), transitional patterns from the vibra-tional to the rotational limit of the IBM with a schematic Hamiltonian are studied by replacingthe SU(3) quadrupole-quadrupole term with O(6) cubic interaction.We use the two schemes to investigate some interesting physical quantities for bosonN=10, such as some low-lying energy levels and their rations, E2transitions, expectationvalues of shape variables across the entire transitional region and their corresponding root-mean-square deviations. The results show that the transitional behaviors are very similar in thetwo schemes; However, the transition behavior is smoother in the new scheme than those oftraditional scheme.Generally speaking, the transition is smoother and the nuclear shape is lesswell defined in the new scheme.Then we apply the two schemes to the critical point symmetry candidate, such as152Sm.Firstly,several methods of determining parameters are introduced, then we compare the theo-retical result with the corresponding experimental data, and find out the best method. Finally,we obtain the theoretical result from two schemes by using the best method. From the aboveresults, we can see that the overall fitting quality of the new scheme is better than that of theU(5)-SU(3) scheme, especially for the inter-band E2transitions in152Sm.