Transverse instabilities of coasting beams with space charge

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 relativ...

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Main Authors: A. Burov, V. Lebedev
Format: Article
Language:English
Published: American Physical Society 2009-03-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.12.034201
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author A. Burov
V. Lebedev
author_facet A. Burov
V. Lebedev
author_sort A. Burov
collection DOAJ
description 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.
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spelling doaj.art-323d9d89e3484689ac39c02cabb9796a2022-12-22T03:00:12ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022009-03-0112303420110.1103/PhysRevSTAB.12.034201Transverse instabilities of coasting beams with space chargeA. BurovV. LebedevTransverse 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.http://doi.org/10.1103/PhysRevSTAB.12.034201
spellingShingle A. Burov
V. Lebedev
Transverse instabilities of coasting beams with space charge
Physical Review Special Topics. Accelerators and Beams
title Transverse instabilities of coasting beams with space charge
title_full Transverse instabilities of coasting beams with space charge
title_fullStr Transverse instabilities of coasting beams with space charge
title_full_unstemmed Transverse instabilities of coasting beams with space charge
title_short Transverse instabilities of coasting beams with space charge
title_sort transverse instabilities of coasting beams with space charge
url http://doi.org/10.1103/PhysRevSTAB.12.034201
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AT vlebedev transverseinstabilitiesofcoastingbeamswithspacecharge