Using the Interacting Boson Model to Calculate Some Nuclear Properties for Even Zirconium(A=92-104) Isotopes

Abstract

This study presents a theoretical analysis of several nuclear properties using the interacting boson model for some even-even zirconium isotopes in the isotope mass range 92 ≤ A ≤ 104. Based on available experimental data, the Hamiltonians for each isotope were estimated within a theoretical framework based on the limit established by the ratio of the energy eigenvalues corresponding to the first and fourth excited levels to those corresponding to the first and second ones. From this perspective, an electric transition probability is an essential nuclear feature since it provides an indication of the degree of nucleus distortion. The published experimental results were partly consistent with the revised values for the lower energy states.