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Odd-even shape staggering and kink structure of charge radii of Hg isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
We examined the shape staggering of relative charge radii in \(^{180 - 186}\)Hg isotopes, which was first measured in 1977 and recently confirmed using advanced spectroscopy techniques. To understand the nuclear structure underlying this phenomenon, we employed the deformed relativistic Hartree-Bogo...
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Published in: | arXiv.org 2023-10 |
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Main Authors: | , , , , , |
Format: | Article |
Language: | English |
Subjects: | |
Online Access: | Get full text |
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Summary: | We examined the shape staggering of relative charge radii in \(^{180 - 186}\)Hg isotopes, which was first measured in 1977 and recently confirmed using advanced spectroscopy techniques. To understand the nuclear structure underlying this phenomenon, we employed the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc). Our analysis revealed that the shape staggering can be attributed to nuclear shape transition in the Hg isotopes. Specifically, we demonstrated that prolate shapes of \(^{181,183,185}\)Hg lead to an increase in the charge radii compared to oblate shapes of \(^{180,182,184,186}\)Hg isotopes. We explained the nuclear shape staggering in terms of the evolution of occupation probability (OP) of \(\nu 1 i_{13/2}\), \(\nu 1 h_{9/2}\), \(\pi 1 h_{9/2}\), and \(\pi 3 s_{1/2}\) states. Additionally, we clarified the kink structure of the charge radii in the Hg isotopes near \(N = 126\) magic shell does not come from the change of the OP of \(\pi 1 h_{9/2}\) state, but mainly by the increase of the OPs of \(\nu 1 i_{11/2}\) and \(\nu 2 g_{9/2}\) states. |
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ISSN: | 2331-8422 |
DOI: | 10.48550/arxiv.2305.09205 |