In this paper, we tried to describe the , intruder stats in 130Xe nucleus in a configuration mixing framework. To this aim, we have used a transitional Hamiltonian based in the affine SU(1,1) lie algebra in the framework of interacting boson model. Also, we perturbed this Hamiltonian in the version 2 with adding a new term, the O(6) Casimir operator, due to the nature of these intruder states. The results confirm the accuracy of this mixing configuration in the description of all considered energy levels and especially, the intruder states. Also, these results suggest same approach with adding other Casimir operators of different symmetry chains to extend the ability of this transitional Hamiltonian.
In this paper, we have considered the coexistence of two quite different structures, the deformed and spherical shapes in 190 Hg nucleus. To this aim, we have determined the energy spectra and quadrupole transition probabilities of this nucleus. A transitional Interacting Boson Model Hamiltonian which are based on affine(1,1) SU lie algebra have been used to provide a new general technique for description of shape coexistence.Parameter free (up to overall scale factors) predictions for theoretical predictions are found to be in good agreement with experimental counterparts. Also, our results offer a combination of O(6) and U(5) dynamical symmetries for description of regular and intruder configurations, respectively.
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