Phys. Rev. ST Accel. Beams 9, 064401 (2006) [8 pages]Transverse coherent instability of a bunch in a rectangular potential well |
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V. Balbekov *
Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA
Received 4 April 2006; published 21 June 2006
A theory of transverse instability of a bunch in a rectangular potential well is developed. A series of equations adequately describing the instability is derived and solved both analytically and numerically. The dependence of the instability growth rate and threshold on bunch factor is investigated for various beam coupling impedances. The theory is applied to the Fermilab recycler ring.
©2006 The American Physical Society
URL: http://link.aps.org/abstract/PRSTAB/v9/e064401
DOI: 10.1103/PhysRevSTAB.9.064401
PACS: 29.20.−c, 29.27.Bd
* Electronic address: balbekov@fnal.gov
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