Luminosity (scattering theory)
In scattering theory and accelerator physics, luminosity (L) is the ratio of the number of events detected (N) in a certain time (t) to the interaction cross-section (σ):[1]
It has the dimensions of events per time per area, and is usually expressed in the cgs units of cm−2·s−1 or the non-SI units of b−1·s−1. In practice, L is dependent on the particle beam parameters, such as beam width and particle flow rate, as well as the target properties, such as target size and density.[1]
A related quantity is integrated luminosity (Lint), which is the integral of the luminosity with respect to time:[1]
The luminosity and integrated luminosity are useful values to characterize the performance of a particle accelerator. In particular, all collider experiments aim to maximize their integrated luminosities, as the higher the integrated luminosity, the more data is available to analyze.[1]
Examples of collider luminosity
Here are a few examples of the luminosity of certain experiments.[1]
Collider | Interaction | L (cm−2·s−1) |
---|---|---|
SPS | p + p | 6.0×1030 |
Tevatron | p + p | 5.0×1031 |
HERA | proton + e+ | 4.0×1031 |
LHC | p + p | 1×1034 |
LEP | e− + e+ | 1.0×1032 |
PEP | e− + e+ | 3.0×1033 |
KEKB | e− + e+ | 1.0×1034 |