Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2011-11-09
Physics
Nuclear Physics
Nuclear Theory
11 pages, 4 figures
Scientific paper
In the present paper, the phase transition point is determined for different isotopes of nuclei located in U(5)-SO(6) transitional region of Casten triangle of the IBM with Catastrophe theory. In algebraic models, coherent states are appropriate trial wave functions to study the energy surfaces of the system. Catastrophe Theory can provide us the proper tool to study shape phase transition in the algebraic Hamiltonian, according to the theory of coherent states and the introduction of the Bifurcation and Maxwell sets. In this paper, as the application of this approach, the energy surfaces of U(5)-SO(6)transitional Hamiltonian is studied which is defined according to su(1,1) algebra and phase transition point for the Hamiltonian, is obtained by use of the formation of the Catastrophe Theory. The results are accomplished for isotopes of Ru, Pd and special isotopes of each nucleus which has more correspondence with transition region is determined.
Fathi Hanane
Fouladi N.
Ghadami M.
Jafarizadeh Mohammad Ali
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