Abstract <p>In 1979, at the 10th International Conference on Solid State Track Detector in Lyon, I presented a report [1], in which formulas were derived for the ν-hit model of the probability of a local response <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9025_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\(P_{\nu }^{ + }(\rho ,s)\)</EquationSource> <!--PhysPart2470182Ditlov-m1--> </InlineEquation> using directly the distribution function <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9025_Article_IEq2.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="68" /> </InlineMediaObject> <EquationSource Format="TEX">\(f(\vec {\Omega },\rho ,s)\)</EquationSource> <!--PhysPart2470182Ditlov-m2--> </InlineEquation> of δ-electrons of the theory of multiple scattering in the space of directions of motion <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9025_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\vec {\Omega }\)</EquationSource> <!--PhysPart2470182Ditlov-m3--> </InlineEquation>, distances <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9025_Article_IEq4.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho \)</EquationSource> <!--PhysPart2470182Ditlov-m4--> </InlineEquation> from the points under consideration to the ion trajectory axis and their residual ranges <i>s</i>. These probabilities were expressed in terms of certain moments <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9025_Article_IEq5.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">\(\left\langle {{{\xi }^{k}}{{e}^{{ - \xi }}}} \right\rangle \)</EquationSource> <!--PhysPart2470182Ditlov-m5--> </InlineEquation> of the number of effective events ξ in a sensitive microvolume with exponential weight <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9025_Article_IEq6.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\({{e}^{{ - \xi }}}\)</EquationSource> <!--PhysPart2470182Ditlov-m6--> </InlineEquation>, averaged over the flow of δ-electrons passing through it. This paper describes a numerical method for finding these quantities from the solution of the kinetic equation of the theory of multiple electron scattering, then using them to construct and calculate the probabilities of the occurrence of a multihit response. Using these probabilities, equidensities of the optical density and half-width of latent tracks of heavy and superheavy elements in nuclear photoemulsion type-R2, which is a detector with a one-hit response <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11496_2025_9025_Article_IEq7.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="61" /> </InlineMediaObject> <EquationSource Format="TEX">\(P_{1}^{ + }(\rho ,s)\)</EquationSource> <!--PhysPart2470182Ditlov-m7--> </InlineEquation>, were found.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Application of the Theory of Multiple Scattering of Electrons to the Description of the Parameters of Tracks of Fast Heavy and Superheavy Nuclei

  • V. A. Ditlov

摘要

Abstract

In 1979, at the 10th International Conference on Solid State Track Detector in Lyon, I presented a report [1], in which formulas were derived for the ν-hit model of the probability of a local response \(P_{\nu }^{ + }(\rho ,s)\) using directly the distribution function \(f(\vec {\Omega },\rho ,s)\) of δ-electrons of the theory of multiple scattering in the space of directions of motion \(\vec {\Omega }\) , distances \(\rho \) from the points under consideration to the ion trajectory axis and their residual ranges s. These probabilities were expressed in terms of certain moments \(\left\langle {{{\xi }^{k}}{{e}^{{ - \xi }}}} \right\rangle \) of the number of effective events ξ in a sensitive microvolume with exponential weight \({{e}^{{ - \xi }}}\) , averaged over the flow of δ-electrons passing through it. This paper describes a numerical method for finding these quantities from the solution of the kinetic equation of the theory of multiple electron scattering, then using them to construct and calculate the probabilities of the occurrence of a multihit response. Using these probabilities, equidensities of the optical density and half-width of latent tracks of heavy and superheavy elements in nuclear photoemulsion type-R2, which is a detector with a one-hit response \(P_{1}^{ + }(\rho ,s)\) , were found.