Reduced Transition Probability for 124-130Barium transitional nuclei with cubic terms from Casimir invariant operators and IBM-1

Abstract

 Several characteristics of nuclear structure for even- even ^124-130Barium nuclei have been explored while Interacting Boson Model. This work studies the systematic reduced transition probabilities B(E2) ↓ of Ba isotopes with even neutrons from N=68 to 74. The values of parameters have been determined with the formation of cubic terms by Casimir invariant operators and addition of these terms by breaking O(6) symmetry of IBM Hamiltonian and three-three boson interactions are also formed. We have studied systematically the transition rate R=B(E2: L⁺→(L-2)⁺ )/ B(E2: 2⁺→0⁺) of some of the low-lying quadrupole collective states in comparison with available experimental data. The even- even ^124-130Barium isotopes show O(6) symmetry. The results of this calculation are in good agreement with available experimental data.