Abstract <p>The <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9078_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="119" /> </InlineMediaObject> <EquationSource Format="TEX">\({{e}^{ + }}{{e}^{ - }} \to {{\pi }^{ + }}{{\pi }^{ - }}{{\pi }^{0}}\)</EquationSource> <!--PhysPart2470235Dimova-m1--> </InlineEquation> process is studied in the energy range from 1.075 to 1.975 GeV on the basis of the data with an integrated luminosity of about 70 pb<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9078_Article_IEq2.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{{ - 1}}\)</EquationSource> <!--PhysPart2470235Dimova-m2--> </InlineEquation> accumulated at the SND detector. The Dalitz plot distributions are fitted at each energy point using the model that includes the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9078_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="59" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho (770)\pi \)</EquationSource> <!--PhysPart2470235Dimova-m3--> </InlineEquation>, <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9078_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="67" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho (1450)\pi \)</EquationSource> <!--PhysPart2470235Dimova-m4--> </InlineEquation>, and <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9078_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(\omega {{\pi }^{0}}\)</EquationSource> <!--PhysPart2470235Dimova-m5--> </InlineEquation> intermediate states. Energy dependences of the cross sections for the intermediate states and the relative phases between amplitudes are obtained.</p>

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Dalitz Plot Analysis of the e+e → π+ππ0 Process

  • T. V. Dimova,
  • M. N. Achasov,
  • A. Yu. Barnyakov,
  • K. I. Beloborodov,
  • A. V. Berdyugin,
  • A. G. Bogdanchikov,
  • A. A. Botov,
  • V. P. Druzhinin,
  • A. G. Kharlamov,
  • L. V. Kardapoltsev,
  • D. P. Kovrizhin,
  • A. A. Korol,
  • A. S. Kupich,
  • A. P. Kryukov,
  • N. A. Melnikova,
  • N. Yu. Muchnoi,
  • A. E. Obrazovsky,
  • E. V. Pakhtusova,
  • K. V. Pugachev,
  • S. I. Serednyakov,
  • Z. K. Silagadze,
  • I. K. Surin,
  • D. A. Shtol,
  • Yu. V. Usov,
  • V. N. Zhabin

摘要

Abstract

The \({{e}^{ + }}{{e}^{ - }} \to {{\pi }^{ + }}{{\pi }^{ - }}{{\pi }^{0}}\) process is studied in the energy range from 1.075 to 1.975 GeV on the basis of the data with an integrated luminosity of about 70 pb \(^{{ - 1}}\) accumulated at the SND detector. The Dalitz plot distributions are fitted at each energy point using the model that includes the \(\rho (770)\pi \) , \(\rho (1450)\pi \) , and \(\omega {{\pi }^{0}}\) intermediate states. Energy dependences of the cross sections for the intermediate states and the relative phases between amplitudes are obtained.