Difference between revisions of "Relativistic Differential Cross-section"
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where in the center of mass frame <math>E_1=E_2 \
where in the center of mass frame <math>E_1=E_2 \p_1=-p_2</math>
Revision as of 12:21, 4 July 2017
Relativistic Differential Cross-section
dQ is the invariant Lorentz phase space factor
and F is the flux of incoming particles
where is the relative velocity between the particles in the frame where particle 1 is at rest
Using the relativistic definition of energy
Letting be the energy of particle 2 wiith respect to particle 1, the relativistic energy equation can be rewritten such that
where similarlyis defined as the momentum of particle 2 with respect to particle 1.
The relative velocity can be expressed as
The invariant form of F is
where in the center of mass frame
In the center of mass frame