Difference between revisions of "Initial CM Frame 4-momentum components"
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Figure 2: Definition of variables in the Center of Mass Frame
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Revision as of 17:54, 31 May 2017
Initial CM Frame 4-momentum components
Starting with the definition for the total relativistic energy:
Since we can assume that the frame of reference is an inertial frame, it moves at a constant velocity, the mass should remain constant.
We can use 4-momenta vectors, i.e. ,with c=1, to describe the variables in the CM Frame.
Using the fact that the scalar product of a 4-momenta with itself,
is invariant.
Using this notation, the sum of two 4-momenta forms a 4-vector as well
The length of this four-vector is an invariant as well