Description of Even-Even Xe isotopes in the transitional region of IBM
M. A. Jafarizadeh, N. Fouladi, H. Sabri
TL;DR
This paper models the properties of even-even Xe isotopes in the transitional region using the Interacting Boson Model, focusing on energy levels and transition rates, and suggests Xe-130 as a candidate for E(5) symmetry.
Contribution
It applies the affine SU(1,1) Lie Algebra to calculate properties of Xe isotopes within the IBM-1 framework, highlighting shape transitions and symmetry candidates.
Findings
Acceptable agreement with experimental data
Identifies Xe-130 as a candidate for E(5) symmetry
Suggests a spherical to gamma-soft shape transition
Abstract
Properties of Xe isotopes isotopes are studied in the U(5)<->O(6) transitional region of Interacting Boson Model (IBM-1). The energy levels and B(E2)transition rates are calculated via the affine SU(1,1)Lie Algebra. The agreement with the most recent experimental is acceptable. The evaluated Hamiltonian control parameters suggest a spherical to (/gamma)-soft shape transition and propose the Xe(A=130)nucleus as the best candidate for the E(5)symmetry.
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