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<p>The study of uranium isotopes plays a crucial role in advancing our knowledge of nuclear physics, particularly in the realm of isospin and exotic nuclei. This study focused on the ground-state properties of uranium isotopes ranging from <i>A</i> = 203 to <i>A</i> = 305. The key physical quantities examined included binding energy, quadrupole deformation, isotopic displacement, single-particle energy levels, and nucleon density distributions. Recent experimental advancements in uranium isotope studies have emphasized the indispensable role of theoretical models in interpreting experimental data. Moreover, the industrial applications of uranium—especially in nuclear energy production and weapons development—underscore the importance and necessity of accurate theoretical insights. The framework of the finite-range droplet model (FRDM) was utilized for comparative analysis because its predictions closely align with the experimental results. Through an analysis of the single-particle energy levels and continuous-state occupancy, this study identified <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41365_2025_1762_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{207}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>207</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>U as the proton drip line nucleus. This research not only deepens our understanding of uranium isotopes but also provides a solid theoretical foundation to guide future experimental investigations.</p>

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Ground-state properties of uranium isotope chain: a relativistic mean field approach

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Di Xu,
  • Hong-Fei Zhang

摘要

The study of uranium isotopes plays a crucial role in advancing our knowledge of nuclear physics, particularly in the realm of isospin and exotic nuclei. This study focused on the ground-state properties of uranium isotopes ranging from A = 203 to A = 305. The key physical quantities examined included binding energy, quadrupole deformation, isotopic displacement, single-particle energy levels, and nucleon density distributions. Recent experimental advancements in uranium isotope studies have emphasized the indispensable role of theoretical models in interpreting experimental data. Moreover, the industrial applications of uranium—especially in nuclear energy production and weapons development—underscore the importance and necessity of accurate theoretical insights. The framework of the finite-range droplet model (FRDM) was utilized for comparative analysis because its predictions closely align with the experimental results. Through an analysis of the single-particle energy levels and continuous-state occupancy, this study identified \(^{207}\) 207 U as the proton drip line nucleus. This research not only deepens our understanding of uranium isotopes but also provides a solid theoretical foundation to guide future experimental investigations.