Difference between revisions of "Relativistic Differential Cross-section"
|Line 74:||Line 74:|
Revision as of 16:18, 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