The study of energy spectrum of chain Barium isotopes using su(1,1) algebra in the transitional region of IBM-1

In this study, using a SU(1,1) Lie algebra in the Hamiltonian of Interacting Boson Model (IBM-1), we have calculated the energy spectrum of chain Barium isotopes ( 124-130). We have obtained the constants of this spectrum by solving the Bethe equation using the Least Squares method with the Newton-Gauss and Genetic algorithms. Finally we have compared the results of experimental spectra with theoretical spectra and undefined levels of these isotopes were calculated. The results showed that the genetic algorithm has a lower standard deviation compared with the Newton-Gauss algorithm, and also the results of experimental spectra are in good agreement with the theoretical spectra.