1.

Solve the previous problem assuming the collision to take place in a colliding-beam accelerator in which the electrons and positrons meet head on with equal velocities.

Answer»


Solution :In this case the CLUSTER formed as the result of an inelastic collision is at rest, i.e.. the ENTIRE kinetic energy of the ORIGINAL particles has been transformed into the INTERNAL energy. The internal energy of the cluster is `epsilon._0 =2K+2epsilon_0^(e1)=2epsilon_0^("prot")` , therefore
`K=evarphi=epsilon_0^("prot")-epsilon_0^(e1)=938.3-0.511 = 937.8 MeV ~~1 GeV`
Such accelerators do already exist.


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