Exploring algebraic symmetries in krypton nuclei

Abstract

This study investigates the quantum phase transition in even-even Krypton isotopes using the Interacting Boson Model-3 (IBM-3). The transitional region between U(5) and O(6) symmetry limits is explored using an algebraic approach based on the affine SU(1,1) algebra. The Hamiltonian is constructed incorporating isospin degrees of freedom and solved using the Bethe-Ansatz method. Theoretical energy spectra are obtained and compared to experimental data for selected isotopes. Additionally, the electric quadrupole transition probabilities B(E2) are calculated and evaluated against known measurements. Our results agree with experimental values, validating the applicability of IBM-3 and affine algebra in modeling light nuclei.