Study of shape coexistence in the 180-190Hg isotopes by SO(6) representation of eigenstates

TL;DR

This study investigates shape coexistence in 180-190Hg isotopes using the SO(6) representation within the Interacting Boson Model, providing parameter-free predictions that align well with experimental data and reveal shape evolution from prolate to oblate.

Contribution

It introduces a parameter-free approach using SO(6) representation to model shape coexistence and evolution in Hg isotopes within the Interacting Boson Model.

Findings

Good agreement between predicted and experimental energy spectra.

Identification of shape coexistence and evolution from prolate to oblate.

Deviations from SO(6) limit correlate with decreased quadrupole deformation.

Abstract

In this paper, we have studied the shapes coexistence in the 180-190Hg isotopes. The SO(6) representation of eigenstates and a transitional Hamiltonian in the Interacting Boson Model are used to consider the evolution from prolate to oblate shapes for systems with total boson number N = 9-12. Parameter free (up to overall scale factors) predictions for energy spectra and quadrupole transition rates are found to be in good agreement with experimental counterparts. The results for the control parameter of transitional Hamiltonian offer a combination of spherical and deformed shapes in these Hg isotopes and also more deviation from SO(6) limit is observed when the quadrupole deformation is decreased. Also, there are some suggestion about the expectation values of operator which are determined in the first state of ground, beta and gamma bounds and the control parameter of model.