Transverse Instabilities of Coasting Beams with Space Charge

Details Transverse Instabilities of Coasting Beams with Space Charge Transverse Instabilities of Coasting Beams with Space Charge

2008-12-19

arxiv.org/abs/0812.3887v1

Phys.Rev.ST Accel.Beams 12:034201,2009

Physics

Accelerator Physics

6 pages, 2 figures, accepted by Phys. Rev. ST - Accel. Beams

Scientific paper

10.1103/PhysRevSTAB.12.034201

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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