Quantum phase transition of the neodymium isotope chain using the su(1,1) Affine Lie algebra in the framework of IBM-1

In this research, we have considered quantum phase transition for even-even neodymium isotopes ( ) using the Hamiltonian of Interacting Boson Model (IBM-1) in the framework of affine SU(1,1) Lie algebra. The energy spectrum of this chain has obtained by calculating the Hamiltonian control parameters with Least Squares method. In the following, energy surfaces using coherent state formalism has calculated. Changes observed in the energy surfaces and the values of showed that the  isotope is the transitional nuclei between U(5) and SO(6) limits. The results of this model are in good agreement with New Empirical Formula (NEF).