 Electron-induced pair-production threshold

ID: electron-induced-pair-production-threshold

For a free target electron at rest,

e^{-} e^{-} \to e^{-} e^{-} e^{-} e^{+}

has threshold invariant mass

4 m_{e}

s = 2 m_{e}^{2} + 2 m_{e} E_{incident}

gives incident total energy

7 m_{e}

, or incident kinetic energy

6 m_{e}

. Atomic binding and recoil of the rest of an atom are excluded by this free-target model. This threshold differs from photon-induced pair production.

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