Transverse instabilities of coasting beams with space charge

2008/12/19 by A. Burov, Alexey Burov, Valeri Lebedev · 1 citation
Engineering · Physics and Astronomy · #Fluid Dynamics Simulations and Interactions #Particle accelerators and beam dynamics #Wave and Wind Energy Systems #physics.acc-ph

paper · pdf · doi:10.1103/physrevstab.12.034201

published as Phys.Rev.ST Accel.Beams 12:034201,2009 · 6 pages, 2 figures, accepted by Phys. Rev. ST - Accel. Beams

arxiv created 2008/12/19 · openalex publication_date 2009/03/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Transverse beam stability is strongly affected by the beam space charge. Usually it is analyzed with the rigid-beam model. However, this model is only valid when a bare (not affected by the space charge) tune spread is small compared to the space charge tune shift. This condition specifies a relatively small area of parameters which, however, is the most interesting for practical applications. The Landau damping rate and the beam Schottky spectra are computed assuming that validity condition is satisfied. The results are applied to a round Gaussian beam. The stability thresholds are described by simple fits for the cases of chromatic and octupole tune spreads.

Cited by

• The Legacy of the Tevatron in the Area of Accelerator Science

Related

• Transverse modes and instabilities of a bunched beam with space charge and resistive wall impedance
• Damping factors for head-tail modes at strong space charge
• Enhancement of space-charge induced damping due to reactive impedances for head-tail modes
• Transverse Instabilities of a Bunch with Space Charge, Wake and Feedback
• Self-consistent derivation of the transverse mode coupling instability for coasting beams using the linearized Vlasov equation