Abstract <p>Systematic calculations of low-lying energy levels and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3534_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(B(E2)\)</EquationSource>  </InlineEquation> transitions in the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3534_Article_IEq4.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\({}^{76}\)</EquationSource>  </InlineEquation>Ge nucleus are performed by diagonalization of the five-dimensional Bohr collective Hamiltonian with the microscopic input derived from a self-consistent mean-field calculation based on the multidimensional constrained covariant density functional theory. The relativistic functionals PC-PK1, NL3, and NL3<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3534_Article_IEq5.gif" Format="GIF" Height="8" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\({}^{\ast}\)</EquationSource>  </InlineEquation> supplemented by a finite-range pairing force are used. The calculated properties of the yrast band show good agreement with available experimental data. Based on the analysis of energies of yrast states and the <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3534_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="49" /> </InlineMediaObject> <EquationSource Format="TEX">\(B(E2)\)</EquationSource>  </InlineEquation> branching ratios the <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3534_Article_IEq4.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\({}^{76}\)</EquationSource>  </InlineEquation>Ge isotope is a viable candidate for an asymmetric rotor description with <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3534_Article_IEq8.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="57" /> </InlineMediaObject> <EquationSource Format="TEX">\(\gamma=30^{\circ}\)</EquationSource>  </InlineEquation>.</p>

Description of Yrast States in \({}^{{76}}\)Ge

期刊论文
发表日期：

2025年2月1日

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N. N. Arsenyev,
E. V. Mardyban,
T. M. Shneidman

摘要

Abstract

Systematic calculations of low-lying energy levels and \(B(E2)\) transitions in the \({}^{76}\) Ge nucleus are performed by diagonalization of the five-dimensional Bohr collective Hamiltonian with the microscopic input derived from a self-consistent mean-field calculation based on the multidimensional constrained covariant density functional theory. The relativistic functionals PC-PK1, NL3, and NL3 \({}^{\ast}\) supplemented by a finite-range pairing force are used. The calculated properties of the yrast band show good agreement with available experimental data. Based on the analysis of energies of yrast states and the \(B(E2)\) branching ratios the \({}^{76}\) Ge isotope is a viable candidate for an asymmetric rotor description with \(\gamma=30^{\circ}\) .