Luminosity (scattering theory) explained
In scattering theory and accelerator physics, luminosity (L) is the ratio of the number of events detected (dN) in a certain period of time (dt) to the 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 accelerators.[1]
Notes and References
- Book: Herr . W. . Muratori . B. . Concept of luminosity . Brandt . D. . 2006 . CERN Accelerator School: Intermediate Course on Accelerator Physics, Zeuthen, Germany, 15-26 Sep 2003 . https://cds.cern.ch/record/941318/files/p361.pdf . . 361–378 . 10.5170/CERN-2006-002 . 978-92-9083-267-6.
- https://www.fnal.gov/pub/today/archive/archive_2010/today10-04-19.html Tevatron sets new initial luminosity records
- Tetsuo Abe et al.: Achievements of KEKB. In: Prog. Theor. Exp. Phys. 03A001, 2013, pp. 1–18, .
- News: SuperKEKB collider achieves the world's highest luminosity. 26 June 2020.
- https://home.cern/cern-people/updates/2018/05/lhc-report-lhc-full LHC Report: The LHC is full!
- https://www.worldscientific.com/doi/abs/10.1142/9789814675475_0021 Heavy-Ion Operation of HL-LHC!
- Web site: Vol. 10 (2020): High-Luminosity Large Hadron Collider (HL-LHC): Technical design report . 2022-11-30 . e-publishing.cern.ch . en-US.
