Calculation the Energy Levels and Energy Bands (g, beta, gamma-bands) for 154,160Dy Isotopes

Abstract

Interacting boson model (IBM-1) was used in the present work to study some of nuclear structures for selected Dysprosium isotope ¹⁵⁴Dy which has transitional motion of the SU(5)-O(6) translation region and ¹⁶⁰Dy which has rotational motion of the SU(3) dynamical symmetry.

These isotopes have been classified to be the SU(5)-O(6) translation region (for ¹⁵⁴Dy) and SU(3) dynamical symmetry (for ¹⁶⁰Dy) by comparing the experimental energy levels which taken from the references with the ideal chart for the three dynamical symmetry U(5) , O(6) , SU(3) , and energy ratios E(4₁⁺)/E(2₁⁺) , E(6₁⁺)/E(2₁⁺) , E(8₁⁺)/E(2₁⁺) and (E0₂⁺/E2₁⁺) with the ideal values.

Therefore are calculated the energy levels and gamma transitions for these isotopes depending on the total number of boson (N). The calculated results are compared with the available experimental data and found to be in a good agreement, specially at low-lying states, while at high angular momentum, some theoretical values are somehow larger than the experimental values.

Keywords: interacting boson model, SU(3), translation region, energy levels.