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Abstract <p>We study the energy spectrum of three-particle systems (He-<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(p\)</EquationSource> <!--NuclPhys2560117Martynenko-m1--> </InlineEquation>-<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu\)</EquationSource> <!--NuclPhys2560117Martynenko-m2--> </InlineEquation>), (He-<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(d\)</EquationSource> <!--NuclPhys2560117Martynenko-m3--> </InlineEquation>-<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu\)</EquationSource> <!--NuclPhys2560117Martynenko-m4--> </InlineEquation>), (Li-<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq1.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(p\)</EquationSource> <!--NuclPhys2560117Martynenko-m5--> </InlineEquation>-<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu\)</EquationSource> <!--NuclPhys2560117Martynenko-m6--> </InlineEquation>) and (Li-<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq3.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(d\)</EquationSource> <!--NuclPhys2560117Martynenko-m7--> </InlineEquation>-<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11450_2025_3628_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu\)</EquationSource> <!--NuclPhys2560117Martynenko-m8--> </InlineEquation>) on the basis of variational approach with exponential and Gaussian basis. Using the Complex Coordinate Rotation (CCR) method we calculate energies of resonant states of listed molecules.</p>

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Resonant States of Muonic Three-Particle Systems with Lithium, Helium and Hydrogen Nuclei

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • A. V. Eskin,
  • V. I. Korobov,
  • A. P. Martynenko,
  • F. A. Martynenko

摘要

Abstract

We study the energy spectrum of three-particle systems (He- \(p\) - \(\mu\) ), (He- \(d\) - \(\mu\) ), (Li- \(p\) - \(\mu\) ) and (Li- \(d\) - \(\mu\) ) on the basis of variational approach with exponential and Gaussian basis. Using the Complex Coordinate Rotation (CCR) method we calculate energies of resonant states of listed molecules.