Calculation of the Positive Parity Yrast Bands of 190−198Hg Nuclei
Keywords:IBM-1, B(E2) values, energy levels, potential energy
The Interacting Boson Model (IBM-1) has been used to calculate the low-lying positive parity yrast bands in 190−198Hg nuclei. The systematic yrast level and electric reduced transition probabilities B(E2)↓ of those nuclei are calculated and compared with the available experimental data. The ratio of the excitation energies of first 4+ and first 2+ excited states, R4/2, is also studied for the O(6) symmetry for these nuclei. Furthermore, as a measure to quantify the evolution, we have studied systematically the yrast level R = EL+1/E2+1 of some of the low-lying quadrupole collective states in comparison to the available experimental data. Moreover, we have studied the systematic B(E2) values, and the moment of inertia as a function of the squared rotational energy for even proton Z = 80 and 110 < N < 118 nuclei indicates the disappearance of back-bending properties. The results of this calculation are in good agreement with the corresponding available experimental data. The analytic IBM-1 calculation of the yrast level and B(E2) values of even-even Hg nuclei is performed in the framework of O(6) symmetry. The contour plot of the potential energy surfaces shows that the nuclei are deformed and have y-unstable-like characters.
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