Quantum Phase Transition in Krypton Isotopes Studied using Interacting Boson Model-3

Investigators at the University of Tabriz have made new findings in the field of mathematics, shedding light on the quantum phase transition in even-even Krypton isotopes. Using the Interacting Boson Model-3 (IBM-3), researchers explored the transitional region between U(5) and O(6) symmetry limits. The study's results agree with experimental values, validating the applicability of IBM-3 and affine algebra in modeling light nuclei.

Key Takeaways:

• Researchers used the Interacting Boson Model-3 (IBM-3) to investigate the quantum phase transition in even-even Krypton isotopes.
• The study explored the transitional region between U(5) and O(6) symmetry limits using an algebraic approach based on the affine SU(1,1) algebra.
• The Hamiltonian was constructed incorporating isospin degrees of freedom and solved using the Bethe-Ansatz method.
• Theoretical energy spectra were obtained and compared to experimental data for selected isotopes, with results agreeing with experimental values.
• Electric quadrupole transition probabilities B(E2) were calculated and evaluated against known measurements.
• The study was conducted by Aydin Ghalehasadi and his team, including Narjes Amiri, Zahra Molayi, and Mohammad Ali Jafararizadeh.
• The research has been peer-reviewed and published in the Nuclear Physics A journal.

Statistics:

• 1063: The volume number of the Nuclear Physics A journal where the study was published.
• 2025: The year the research was conducted and published.
• 2300: The page number where the study was featured in Mathematics Week.

Sources:

• Exploring Algebraic Symmetries In Krypton Nuclei. Nuclear Physics A, 2025;1063.
• Nuclear Physics A. (Elsevier - www.elsevier.com)
• University of Tabriz. Faculty of Physics. Tabriz, Iran.
• Aydin Ghalehasadi. University of Tabriz, Faculty of Physics, Tabriz, Iran.