Abstract <p>It is shown for the first time that the stripped helium stars with masses (2–7) <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(M_{\odot}\)</EquationSource> <!--Letters2570015Fadeev-m1--> </InlineEquation> which are formed in close binary systems in the so-called case B of mass-exchange and retained low-mass hydrogen-helium envelopes, experience nonlinear radial pulsations. Pulsations are excited by the <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq2.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\kappa\)</EquationSource> <!--Letters2570015Fadeev-m2--> </InlineEquation>-mechanism due to helium ionization. The region of pulsational instability extends over the Hertzsprung–Russell diagram from the red giant branch to the region of effective temperatures <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq3.gif" Format="GIF" Height="18" Rendition="HTML" Resolution="72" Type="Linedraw" Width="134" /> </InlineMediaObject> <EquationSource Format="TEX">\(4.5\lesssim\log T_{\textrm{eff}}\lesssim 4.7\)</EquationSource> <!--Letters2570015Fadeev-m3--> </InlineEquation>. Stellar luminosity variations must be observed mostly in the ultraviolet. The amplitudes of pulsations of the studied models reach <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="102" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta(M_{\textrm{bol}})=0.8\)</EquationSource> <!--Letters2570015Fadeev-m4--> </InlineEquation> and increase as the stellar radii <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(R\)</EquationSource> <!--Letters2570015Fadeev-m5--> </InlineEquation> decrease. The pulsation periods of stars with <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq6.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="78" /> </InlineMediaObject> <EquationSource Format="TEX">\(\log T_{\textrm{eff}}&gt;4\)</EquationSource> <!--Letters2570015Fadeev-m6--> </InlineEquation> range from 0.17 to 3.9 days and decrease with decreasing <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(R\)</EquationSource> <!--Letters2570015Fadeev-m7--> </InlineEquation>. The stars have substantially larger <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(T_{\textrm{eff}}\)</EquationSource> <!--Letters2570015Fadeev-m8--> </InlineEquation> than their companions, which could be Be stars. They are the components of relatively wide binaries with orbital periods up to several years. The number of pulsating moderate-mass stripped helium stars in the Galaxy is <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11443_2025_11363_Article_IEq9.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\({\simeq}1000\)</EquationSource> <!--Letters2570015Fadeev-m9--> </InlineEquation>.</p>

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Elusive Helium Stars in the Gap between Subdwarfs and Wolf–Rayet Stars II. Nonlinear Pulsations of Stripped Helium Stars

  • Yu. A. Fadeyev,
  • A. G. Kuranov,
  • L. R. Yungelson

摘要

Abstract

It is shown for the first time that the stripped helium stars with masses (2–7) \(M_{\odot}\) which are formed in close binary systems in the so-called case B of mass-exchange and retained low-mass hydrogen-helium envelopes, experience nonlinear radial pulsations. Pulsations are excited by the \(\kappa\) -mechanism due to helium ionization. The region of pulsational instability extends over the Hertzsprung–Russell diagram from the red giant branch to the region of effective temperatures \(4.5\lesssim\log T_{\textrm{eff}}\lesssim 4.7\) . Stellar luminosity variations must be observed mostly in the ultraviolet. The amplitudes of pulsations of the studied models reach \(\Delta(M_{\textrm{bol}})=0.8\) and increase as the stellar radii \(R\) decrease. The pulsation periods of stars with \(\log T_{\textrm{eff}}>4\) range from 0.17 to 3.9 days and decrease with decreasing \(R\) . The stars have substantially larger \(T_{\textrm{eff}}\) than their companions, which could be Be stars. They are the components of relatively wide binaries with orbital periods up to several years. The number of pulsating moderate-mass stripped helium stars in the Galaxy is \({\simeq}1000\) .