Photon Bremsstrahlung from an Extreme-Relativistic Electron Gas
Physical Review1968Vol. 165(1), pp. 253–257
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Abstract
The photon bremsstrahlung spectrum from an extreme-relativistic electron gas is obtained. This gives for the total energy radiated per unit space-time volume ${W}_{\mathrm{ee}}(\ensuremath{\tau})=24 {n}^{2} m{c}^{3} r_{0}^{}{}_{}{}^{2}\ensuremath{\alpha}\ensuremath{\tau} [\mathrm{ln}2\ensuremath{\tau}\ensuremath{-}C+\frac{5}{4}]$ where $\ensuremath{\tau}\ensuremath{\equiv}\frac{\mathrm{kT}}{m{c}^{2}}\ensuremath{\gg}1$, and $C$ is Euler's constant. The leading term is exactly twice that obtained when considering electron-ion bremsstrahlung and is seen to represent the fact that in electron-electron bremsstrahlung, as contrasted with electron-ion bremsstrahlung, both particles radiate.
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