Nuclear structure properties of $^{193-200}$Hg isotopes within large-scale shell model calculations

TL;DR

This study uses large-scale shell-model calculations to analyze the nuclear structure of Hg isotopes from mass 193 to 200, providing insights into their spectra, collective properties, and shape evolution.

Contribution

It presents detailed shell-model analysis of Hg isotopes, including excitation spectra, transition probabilities, and shape studies, with predictions where data is lacking.

Findings

Shell-model results agree reasonably with experimental data.

Evolution of wave functions with spin is characterized.

Shape analysis through energy-surface plots reveals shape coexistence.

Abstract

Large-scale shell-model calculations have been performed to study the nuclear structure properties of Hg isotopes with mass varying from $A=193$ to $A=200$. The shell-model calculations are carried out in the 50 $\leq Z \leq$ 82 and 82 $ \leq N \leq$ 126 model space using monopole-based truncation. We present detailed studies on low-energy excitation spectra, energy systematics, and collective properties of Hg isotopes, such as reduced transition probabilities, quadrupole, and magnetic moments along the isotopic chain. The evolution of wave function configurations with spin is analyzed in the case of even-$A$ Hg isotopes. The shell-model results are in reasonable agreement with the experimental data and predictions are made where experimental data are unavailable. The shapes of Hg isotopes are also investigated through the energy-surface plots.