Elementary Relations For Luminosity
The following relations hold
- (if the target is perfectly opaque)
where
- is the (instantaneous) luminosity.
- is the integrated luminosity.
- is the number of interactions.
- is the number density of a particle beam.
- is the total cross section.
- is the differential solid angle.
- is the differential cross section.
For an intersecting storage ring collider:
where
- is the revolution frequency
- is the number of bunches in one beam in the storage ring.
- is the number of particles in each bunch
- is the cross section of the beam.
Read more about this topic: Luminosity, Scattering Theory
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