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Abstract <p>The theory of interaction of electrons with matter (Bethe, Heitler, Bloch) during their multiple scattering (Goudsmit, Saunderson) was used to obtain analytical expressions for the electron transmission coefficient and the bremsstrahlung energy yield. These expressions depend on the material and thickness of the target and the initial kinetic energy of the electron. An analytical expression for the electron range was also obtained with minor simplifications using the Lambert <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(W\)</EquationSource> <!--NuclPhys2509021Ivanov-m1--> </InlineEquation> function.</p>

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Application of the Lambert W Function to the Calculation of the Electron Transmission Coefficient and Bremsstrahlung Yield from the Bethe–Heitler Theory

  • 期刊论文

  • 发表日期：

    2025年12月21日

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  • I. A. Ivanov

摘要

Abstract

The theory of interaction of electrons with matter (Bethe, Heitler, Bloch) during their multiple scattering (Goudsmit, Saunderson) was used to obtain analytical expressions for the electron transmission coefficient and the bremsstrahlung energy yield. These expressions depend on the material and thickness of the target and the initial kinetic energy of the electron. An analytical expression for the electron range was also obtained with minor simplifications using the Lambert \(W\) function.