Space Charge in Circular Machines
arXiv:2505.14091
Abstract
Space charge forces, which arise directly from the beam's charge distribution and include the influence of image charges and currents induced by interactions with a perfectly conducting, smooth pipe, are very important in high-intensity, low-energy accelerators. These forces play a key role under various beam dynamics regimes, leading to effects such as energy spread, modifications of betatron tunes, and potential instabilities. This lecture will explore the fundamental characteristics of space charge effects in circular accelerators.
22 pages, contribution to the CAS - CERN Accelerator School: Advanced Accelerator Physics, 10-22 November 2024, Spa, Belgium. arXiv admin note: substantial text overlap with arXiv:1601.05214