Combination of SU(1,1)-transitional Hamiltonian and O(6) Casimir operator for description of intruder states in 112Cd nucleus

In this paper, we used a method based on mixing formalism to improve theoretical predictions for energy spectra and quadrupole transition rates of [Formula: see text]Cd nucleus. To this aim, the transitional Hamiltonian in the affine SU(1,1) algebra has been extended by adding the O(6) Casimir operator and mixing Hamiltonian to improve the description of [Formula: see text] and [Formula: see text] intruder levels of this nucleus. We also considered the wave functions of both regular and intruder states as a combination in the [Formula: see text] and [Formula: see text]+2 bosons spaces. The results confirm the advantages of using such mixing approaches and describe the energy and transition rates with high accuracy.