Contribution of close collisions to the Barkas effect : the classical picture

Detalhes bibliográficos
Autor(a) principal: Arista, Nestor
Data de Publicação: 2004
Outros Autores: Grande, Pedro Luis, Lifschitz, A.F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRGS
Texto Completo: http://hdl.handle.net/10183/104295
Resumo: According to a previous estimation made by Lindhard [Nucl. Instrum. Method Phys. Res. 132, 1 (1976)] on the basis of qualitative arguments and dimensional analysis, the contribution of close collisions to the Barkas effect in the energy loss of swift ions in solids yields a significant fraction of the total effect, being almost equal to the contribution coming from distant collisions. Here the classical estimation by Lindhard is reconsidered and subjected to a tight numerical test. We analyze in quantitative terms the classical description of the Barkas effect following the line of arguments proposed by Lindhard. We consider a swift ion of charge Z₁ interacting with the electrons via a screened potential assuming spherical and nonspherical screening models. We calculate by numerical integration the differential and total transport cross sections and find an important asymmetry of both with respect to the sign of Z₁, as well as a departure from the Z₁² behavior. These effects are particularly important for impact parameters in the range of the classical collision radius (rcl=Z₁e² /mv²2). This approach clearly shows the contribution of close collisions to the Barkas effect. We analyze the behavior of the Barkas asymmetry with respect to ion charge and velocity, obtaining a good quantitative agreement with Lindhard’s prediction. However, an additional term predicted for nonspherical potentials cannot be reproduced.
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spelling Arista, NestorGrande, Pedro LuisLifschitz, A.F.2014-10-09T02:13:06Z20041050-2947http://hdl.handle.net/10183/104295000504072According to a previous estimation made by Lindhard [Nucl. Instrum. Method Phys. Res. 132, 1 (1976)] on the basis of qualitative arguments and dimensional analysis, the contribution of close collisions to the Barkas effect in the energy loss of swift ions in solids yields a significant fraction of the total effect, being almost equal to the contribution coming from distant collisions. Here the classical estimation by Lindhard is reconsidered and subjected to a tight numerical test. We analyze in quantitative terms the classical description of the Barkas effect following the line of arguments proposed by Lindhard. We consider a swift ion of charge Z₁ interacting with the electrons via a screened potential assuming spherical and nonspherical screening models. We calculate by numerical integration the differential and total transport cross sections and find an important asymmetry of both with respect to the sign of Z₁, as well as a departure from the Z₁² behavior. These effects are particularly important for impact parameters in the range of the classical collision radius (rcl=Z₁e² /mv²2). This approach clearly shows the contribution of close collisions to the Barkas effect. We analyze the behavior of the Barkas asymmetry with respect to ion charge and velocity, obtaining a good quantitative agreement with Lindhard’s prediction. However, an additional term predicted for nonspherical potentials cannot be reproduced.application/pdfengPhysical review. A, Atomic, molecular, and optical physics. New York. Vol. 70, no. 4 (Oct. 2004), 042902, 7p.Perda de energia de particulasPotencial de espalhamentoContribution of close collisions to the Barkas effect : the classical pictureEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000504072.pdf000504072.pdfTexto completo (inglês)application/pdf90037http://www.lume.ufrgs.br/bitstream/10183/104295/1/000504072.pdfc3271476e991f0acd19575074a2b614eMD51TEXT000504072.pdf.txt000504072.pdf.txtExtracted Texttext/plain30743http://www.lume.ufrgs.br/bitstream/10183/104295/2/000504072.pdf.txt46ef0cfd440045bfb1f4d3016587e9e0MD52THUMBNAIL000504072.pdf.jpg000504072.pdf.jpgGenerated Thumbnailimage/jpeg1944http://www.lume.ufrgs.br/bitstream/10183/104295/3/000504072.pdf.jpg399dcfe0140f4aa83b019d3e6c8406cfMD5310183/1042952024-05-29 06:42:47.820319oai:www.lume.ufrgs.br:10183/104295Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-05-29T09:42:47Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false
dc.title.pt_BR.fl_str_mv Contribution of close collisions to the Barkas effect : the classical picture
title Contribution of close collisions to the Barkas effect : the classical picture
spellingShingle Contribution of close collisions to the Barkas effect : the classical picture
Arista, Nestor
Perda de energia de particulas
Potencial de espalhamento
title_short Contribution of close collisions to the Barkas effect : the classical picture
title_full Contribution of close collisions to the Barkas effect : the classical picture
title_fullStr Contribution of close collisions to the Barkas effect : the classical picture
title_full_unstemmed Contribution of close collisions to the Barkas effect : the classical picture
title_sort Contribution of close collisions to the Barkas effect : the classical picture
author Arista, Nestor
author_facet Arista, Nestor
Grande, Pedro Luis
Lifschitz, A.F.
author_role author
author2 Grande, Pedro Luis
Lifschitz, A.F.
author2_role author
author
dc.contributor.author.fl_str_mv Arista, Nestor
Grande, Pedro Luis
Lifschitz, A.F.
dc.subject.por.fl_str_mv Perda de energia de particulas
Potencial de espalhamento
topic Perda de energia de particulas
Potencial de espalhamento
description According to a previous estimation made by Lindhard [Nucl. Instrum. Method Phys. Res. 132, 1 (1976)] on the basis of qualitative arguments and dimensional analysis, the contribution of close collisions to the Barkas effect in the energy loss of swift ions in solids yields a significant fraction of the total effect, being almost equal to the contribution coming from distant collisions. Here the classical estimation by Lindhard is reconsidered and subjected to a tight numerical test. We analyze in quantitative terms the classical description of the Barkas effect following the line of arguments proposed by Lindhard. We consider a swift ion of charge Z₁ interacting with the electrons via a screened potential assuming spherical and nonspherical screening models. We calculate by numerical integration the differential and total transport cross sections and find an important asymmetry of both with respect to the sign of Z₁, as well as a departure from the Z₁² behavior. These effects are particularly important for impact parameters in the range of the classical collision radius (rcl=Z₁e² /mv²2). This approach clearly shows the contribution of close collisions to the Barkas effect. We analyze the behavior of the Barkas asymmetry with respect to ion charge and velocity, obtaining a good quantitative agreement with Lindhard’s prediction. However, an additional term predicted for nonspherical potentials cannot be reproduced.
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dc.relation.ispartof.pt_BR.fl_str_mv Physical review. A, Atomic, molecular, and optical physics. New York. Vol. 70, no. 4 (Oct. 2004), 042902, 7p.
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