A moving electron collides with a stationary electron and an electron-positron pair comes into being as a result (a positron is a positively charged electron). When all four particles have the same velocity after the collision, the kinetic energy required for this process is a minimum. Use a relativistic calculation to show that KEmin = 6 mc2 , where m is the rest mass of the electron.

A moving electron collides with a stationary electron and an electron-positron pair comes into being as a result (a positron is a positively charged electron). When all four particles have the same velocity after the collision, the kinetic energy required for this process is a minimum. Use a relativistic calculation to show that KEmin = 6 mc2 , where m is the rest mass of the electron.

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Question

A moving electron collides with a stationary electron and an electron-positron pair comes into
being as a result (a positron is a positively charged electron). When all four particles have the
same velocity after the collision, the kinetic energy required for this process is a minimum.
Use a relativistic calculation to show that KEmin = 6 mc2

, where m is the rest mass of the

electron.

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