Phys. Rev. ST Accel. Beams 6, 014204 (2003)
Centroid theory of transverse electron-proton two-stream instability in a long proton bunch
Tai-Sen F. Wang, Paul J. Channell, Robert J. Macek, and Ronald C. Davidson
(Some reference links may require a separate subscription.)
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The perturbed transverse field due to a small displacement of a beam has been discussed in many studies. Examples can be found in E. Regenstreif, CERN Internal Report No. CERN/PS/DL 76-2, 1976; T. F. Wang, LANL Report No. LA-UR-98-5226, 1998.
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For example, see S. Y. Lee, Accelerator Physics (World Science Publishing Co. Pte. Ltd., River Edge, NJ, 1999), p. 199.
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T. F. Wang, LANL PSR Technical Note No. 02-001, LANSCE1:02-035, 2002.
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