Longitudinal Beam Dynamics in Circular Accelerators
arXiv:2011.02932
Abstract
This paper gives an introduction of longitudinal beam dynamics for circular accelerators. After briefly discussing some types of circular accelerators, it focuses on particle motion in synchrotrons. It summarizes the equations of motion, discusses phase-space matching during beam transfer, and introduces the Hamiltonian of longitudinal motion.
17 pages, contribution to the CAS - CERN Accelerator School: Introduction to Accelerator Physics. arXiv admin note: substantial text overlap with arXiv:2004.11908, arXiv:1601.04901