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and is the normalized transverse velocity.

Normalized emittance is related to the previous definitions of emittance through and the normalized velocity in the direction of the beam's travel ():

:

The normalized emittance does not change as a function of energy and so can be used to indicate beam degradation if the particles are accelerated. For speeds close to the speed of light, where is close to one, the emittance is approximately inversely proportional to the energy. In this

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