Journal of Research on Many-body Systems

Journal of Research on Many-body Systems

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

Document Type : Full length research Paper

Authors
leila nazari
masoud seidi
Mohammad Mohammadi sabet
Department of Physics, Faculty of Science, Ilam University, Ilam, Iran
10.22055/jrmbs.2021.16787
Abstract
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).
Keywords
Interacting boson model (IBM)
affine SU(1
1) Lie algebra
quantum phase transition
even-even neodymium isotopes
energy surface
Subjects
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  • Receive Date 22 April 2020
  • Revise Date 07 November 2020
  • Accept Date 09 May 2021