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Current issue   Ukr. J. Phys. 2017, Vol. 62, N 8, p. 653-660
https://doi.org/10.15407/ujpe62.08.0653    Paper

Hussain K.A.1, Mohsin M.K.1, Sharrad F.I.2

1 Department of Physics, College of Science, University of Babylon
(51002Hilla, Iraq.)
2 Department of Physics, College of Science, University of Kerbala
(56001 Karbala, Iraq.; e-mail: fadhil.altaie@gmail.com)

Calculation of the Positive Parity Yrast Bands of 190–198Hg Nuclei

Section: Nuclei and Nuclear Reactions
Original Author's Text: Ukrainian

Abstract: 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(2)↓ of those nuclei are calculated and compared with the available experimental
data. The ratio of the excitation energies of frst 4+ and frst 2+ excited states, 4/2, 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 of some of the low-lying quadrupole collective states in comparison to the available experimental data. Moreover,
we have studied the systematic B(2) values, and the moment of inertia as a function of the
squared rotational energy for even proton = 80 and 110 6 6 118 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(2) 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 -unstable-like characters.

Key words: IBM-1, B(E2) values, energy levels, potential energy.


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