Lancaster Particle Physics Package

Annihilation
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The "threshold energy" for μ+ and μ- production by annihilation of an electron positron pair in a head on collision is 105 MeV. It is clear that, in this case, all the energy of the colliding particles can be used to create the new particle pair. This gives a threshold energy that is 400 times less than in the stationary target case (105 MeV compared with 43 GeV !! In the stationary target case most of the beam energy goes into conserving forward momentum and very little is left over to create the pair). This makes the colliding beams method the natural choice for particle accelerators, as was the case for LEP.

 
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