Head-Tail Modes for Strong Space Charge

Details Head-Tail Modes for Strong Space Charge Head-Tail Modes for Strong Space Charge

2008-12-19

arxiv.org/abs/0812.3914v3

Phys.Rev.ST Accel.Beams 12:044202,2009; Erratum-ibid.12:109901,2009

Physics

Accelerator Physics

11 pages, 7 figures, submitted to Phys. Rev. ST-Accel. Beams

Scientific paper

10.1103/PhysRevSTAB.12.044202 10

The head-tail modes are described for the space charge tune shift significantly exceeding the synchrotron tune. A general equation for the modes is derived. The spatial shapes of the modes, their frequencies, and coherent growth rates are explored. The Landau damping rates are also found. The suppression of the transverse mode coupling instability by the space charge is explained.

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