Description of 2_3^+, 0_3^+Intruder States in 130Xe Nucleus by Mixing of Transitional Hamiltonian and O(6) Casimir Operator

Abstract

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.