Abstract
This paper presents a computational study in the field of nuclear structure by interacting boson model (IBM) to represents very important step formed in the description of collective nuclear excitations and the properties of electromagnetic transition. The ground state energy bands and the reduced transition probabilities B(E2) down arrow up to 8(1)(+) level of even-even nuclei Pd-110 and Cd-110 have been calculated by interacting boson model (IBM-1) and compared with previous experimental values. The set of parameters used in this calculation is the best approximation that has been carried out so far. The ratio of the excitation energies of the first 4(+) and the first 2(+) excited states, R-4/2, is also calculated and an achievable degree of agreement has been investigated in transitional symmetry U(5) for Cd-110 and O(6) for Pd-110 nuclei. We have been compared B(E2) values of Pd-110 and Cd-110 nuclei with theoretically and experimentally and their systematic studies as a function of angular momentum (L). We have been studied systematically the ratios R-L = E(L+)/E(2(1)(+)) and R = B(E2 : L+ -> (L - 2)(+))/B(E2 : 2(+) -> 0(+)) of those nuclei in the ground-state band. Moreover, we have compared the attention to the analogy between the rotational frequency in ordinary space and Fermi energy in gauge space between Pd-110 and Cd-110 nuclei.