An analytical approach to understanding Tevatron integrated luminosity

Technical Report · Tue May 01 04:00:00 EDT 2007

DOI:https://doi.org/10.2172/908837· OSTI ID:908837

Syphers, M J

The recent record-setting performance of the Fermilab Tevatron is the culmination of a long series of efforts to optimize the many parameters that go into generating integrated luminosity for the colliding beams experiments. The instantaneous luminosity is a function of the number of particles of each particle species, the physical extent at the collision point of the transverse and longitudinal particle distributions, and the bunch collision frequency. Meanwhile, the integrated luminosity also depends upon the rate at which particles are lost due to collisions or other means, as well as the rate at which the initial store luminosity can be restored after the end - intentional or otherwise - of the previous store. While many numerical computer models already exist that are used to help optimize the performance of the Tevatron complex, here we take an analytical approach in an attempt to illustrate the most fundamental aspects of integrating luminosity in the Tevatron. We find that the essential features, including recent values of the weekly integrated luminosity, can be understood in a transparent way from basic operational parameters such as antiproton stacking rate and beam emittance growth rate in the Tevatron.

• Research Organization: Fermi National Accelerator Laboratory (FNAL), Batavia, IL
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-07CH11359
• OSTI ID: 908837
• Report Number(s): FERMILAB-FN-0802-AD
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ANTIPROTONS
Accelerators
BEAM EMITTANCE
COLLIDING BEAMS
COMPUTERS
FERMILAB TEVATRON
LUMINOSITY
PERFORMANCE