Abstract
In this work, the energy levels electromagnetic transition B(E2) and B(M1), branching ratios, mixing ratios and electric quadrupole moment of even-even 120-126Xe isotopes have been investigated using Interacting Boson Model (IBM-1). The results were compared with some previous experimental and theoretical values, it was seen that the obtained theoretical results are in agreement with the experimental data.
Highlights
The interacting boson approximation represents a significant step towards our understanding of nuclear structure
The γ-unstable limit of interacting boson model (IBM)-1 has been applied for 120–126Xe nuclei due to the values of the experimental energy ratios (E2 :E4 :E6 :E8 =1:2 .5:4 .5:7)
In this Table, one can see a agreement between experimental data and the IBM-1 calculations
Summary
The interacting boson approximation represents a significant step towards our understanding of nuclear structure. It offers a simple Hamiltonian, capable of describing collective nuclear properties across a wide range of nuclei, and is founded on rather general algebraic group theoretical techniques which have recently found application to problems in atomic, molecular, and high-energy physics (Firestone, 1996, Pan & Draayer, 1998). The IBM-1 is a valuable interactive model developed by Iachello and Arima (Iachello & Arima, 1974, Arima & Iachello, 1975) It has been successful in describing the collective nuclear structure by prediction of low lying states and description of electromagnetic transition rates in the medium mass nuclei. Different reductions of U(6) give three dynamical symmetry limits known as harmonic Oscillator, deformed rotator and asymmetric deformed rotor which are labeled by U(5), SU(3) and O(6), respectively (Kumar et al, 2010, Cejnar et al, 2010)
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