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To study 124-130Barium transitional nuclei with cubic terms from Casimir invariant operators and IBM-1

124-130 Barium transitional nuclei were investigated while Interacting Boson Model for several characteristics of nuclear structure. Still, triaxiality is a mystery. We analyze this concept with the formation of cubic terms by Casimir invariant operators and addition of these terms by breaking O(6) symmetry of IBM Hamiltonian. The energy levels for 124-130Barium nuclei have been calculated and compared with experimental data. After analyzing, we find 124-130Barium isotopes show no signature of triaxiality.