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Abstract <p>We present the results of analyses of the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11497_2025_10001_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="69" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha + {{\,}^{{209}}}{\text{Bi}}\)</EquationSource> <!--PhysPNLt2470179Khatun-m1--> </InlineEquation> elastic scattering for projectile energies <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11497_2025_10001_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="105" /> </InlineMediaObject> <EquationSource Format="TEX">\({{E}_{\alpha }} = 19- 104\)</EquationSource> <!--PhysPNLt2470179Khatun-m2--> </InlineEquation> MeV in terms of the single folded (SF) potential based on α-cluster and unclustered nucleonic configuration of <sup>209</sup>Bi in the framework of the optical model (OM). The <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11497_2025_10001_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="63" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha {{{\text{ - }}}^{{209}}}{\text{Bi}}\)</EquationSource> <!--PhysPNLt2470179Khatun-m3--> </InlineEquation> potential is constructed by folding the α–α and α–<i>N</i> interactions using their density distributions. In a time-averaged picture, the number of nucleons making α-cluster has been found to be <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11497_2025_10001_Article_IEq4.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="76" /> </InlineMediaObject> <EquationSource Format="TEX">\(4{{A}_{\alpha }} = 180\)</EquationSource> <!--PhysPNLt2470179Khatun-m4--> </InlineEquation> and the number of unclustered nucleons as <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11497_2025_10001_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\({{A}_{{\text{N}}}} = 29\)</EquationSource> <!--PhysPNLt2470179Khatun-m5--> </InlineEquation>, which gives the renormalization factor equal to unity.</p>

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Cluster Structure of 209Bi

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • R. Khatun,
  • D. R. Sarker,
  • A. K. F. Haque,
  • M. Nure Alam Abdullah

摘要

Abstract

We present the results of analyses of the \(\alpha + {{\,}^{{209}}}{\text{Bi}}\) elastic scattering for projectile energies \({{E}_{\alpha }} = 19- 104\) MeV in terms of the single folded (SF) potential based on α-cluster and unclustered nucleonic configuration of 209Bi in the framework of the optical model (OM). The \(\alpha {{{\text{ - }}}^{{209}}}{\text{Bi}}\) potential is constructed by folding the α–α and α–N interactions using their density distributions. In a time-averaged picture, the number of nucleons making α-cluster has been found to be \(4{{A}_{\alpha }} = 180\) and the number of unclustered nucleons as \({{A}_{{\text{N}}}} = 29\) , which gives the renormalization factor equal to unity.