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High-Energy Bremsstrahlung in Collisions of Electrons with One- and Two-Electron Atoms

Robert J. Gould

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Abstract

A brief discussion of the fundamental formulas for electron-electron and electron-atom bremsstrahlung is given. Some general results are given for complex atoms and explicit expressions for the cross sections for one- and two-electron atoms are exhibited graphically. It is shown that for $1e$ and $2e$ atoms which have a residual charge, that is, for ions, the total cross section is composed of several terms, one of which is ${(Z\ensuremath{-}1)}^{2}$ or ${(Z\ensuremath{-}2)}^{2}$ (respectively) times the cross section for electrons incident on unshielded protons. Some results for general atoms or molecules in the high- and low-energy limits are indicated.

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What this paper is about

A brief discussion of the fundamental formulas for electron-electron and electron-atom bremsstrahlung is given. Some general results are given for complex atoms and explicit expressions for the cross sections for one- and two-electron atoms are exhibited graphically. It is shown that for $1e$ and $2e$ atoms which have a residual charge, that is, for ions, the total cross section is composed of several terms, one of which is ${(Z\ensuremath{-}1)}^{2}$ or ${(Z\ensuremath{-}2)}^{2}$ (respectively) times the cross section for electrons incident on unshielded protons. Some results for general atoms or molecules in the high- and low-energy limits are indicated.

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Available abstract

A brief discussion of the fundamental formulas for electron-electron and electron-atom bremsstrahlung is given. Some general results are given for complex atoms and explicit expressions for the cross sections for one- and two-electron atoms are exhibited graphically. It is shown that for $1e$ and $2e$ atoms which have a residual charge, that is, for ions, the total cross section is composed of several terms, one of which is ${(Z\ensuremath{-}1)}^{2}$ or ${(Z\ensuremath{-}2)}^{2}$ (respectively) times the cross section for electrons incident on unshielded protons. Some results for general atoms or molecules in the high- and low-energy limits are indicated.

Key concepts: Bremsstrahlung, Electron, Atomic physics, Physics, Atom (system on chip), Cross section (physics), Ion, Atoms in molecules

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