2015/04/16 by G. Franchetti, Giuliano Franchetti, F. Schmidt +3
Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #Magnetic confinement fusion research #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #physics.acc-ph
paper · pdf · doi:10.48550/arxiv.1504.04389
35 pages, 29 figures
arxiv created 2015/04/16 · openalex publication_date 2015/04/16 · arxiv updated 2015/04/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The single particle stability in a circular accelerator is of concern especially for operational regimes involving beam storage of hours. In the proximity to a resonance this stability domain shrinks, and the phase space fragments into a jungle of exotic objects like for instance "fix-lines". The concept of fix-points is easily understandable in a 2D phase space. It becomes quite challenging when the effect of resonances is considered in the 4D phase space, which leads then to the concept of fix-lines. In this paper we investigate the fix-lines in the proximity of a coupled third order resonance and find the relation of these objects with the stability of motion.