Transverse Instabilities of Coasting Beams with Space Charge

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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 ... continued below

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6 pages

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Burov, Alexey; Lebedev, Valeri & /Fermilab December 1, 2008.

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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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6 pages

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  • Journal Name: Submitted to Phys.Rev.ST Accel.Beams

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  • Report No.: FERMILAB-PUB-08-479-AD
  • Grant Number: AC02-07CH11359
  • Office of Scientific & Technical Information Report Number: 946547
  • Archival Resource Key: ark:/67531/metadc900364

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  • December 1, 2008

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  • Sept. 27, 2016, 1:39 a.m.

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  • Dec. 2, 2016, 3:59 p.m.

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Burov, Alexey; Lebedev, Valeri & /Fermilab. Transverse Instabilities of Coasting Beams with Space Charge, article, December 1, 2008; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc900364/: accessed August 19, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.