Space Charge in Circular Machines

TL;DR

This paper explores the fundamental characteristics of space charge effects in circular accelerators, emphasizing their impact on beam dynamics, energy spread, and stability in high-intensity, low-energy accelerators.

Contribution

It provides a comprehensive analysis of space charge forces, including image charge effects, and their influence on beam behavior in circular machines.

Findings

Space charge causes energy spread and tune shifts.

Space charge can induce beam instabilities.

Image charges significantly affect space charge forces.

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.