IBM-2 دراسة خصائص نظائر إربيوم 156−162 الشفعية–شفعية باستخدام نموذج البوزونات المتفاعلة

Abstract

Interacting Boson model-2 was used to calculate the energy levels of some of the even-even erbium isotopes with mass numbers 156-162. The extracted moment of inertia has been plotted versus the square of energy of the emitted photon for the experimental and computed values. The ratio of the excitation energies of the first 4⁺₁ over the first 2₁⁺, [R =(E₄₁₊  ⁄  E₂₁₊)], is also calculated, and then compared with the three limits (SU (3), U(5) and O (6)).

In addition, the E-GOS curve as a function of the spin is presented. All calculated values are compared with the available experimental data and show reasonable agreement. Whereas, the two isotopes ¹⁵⁶Er and ¹⁵⁸Er at low spin values had unstable gamma characteristics and with high spin values, these properties transferred to the
rotational state, while the tow isotopes ¹⁶⁰Er and ¹⁶²Er showed a rotational behavior.