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Analytic studies of the long range beam-beam tune shifts and chromaticities [electronic resource].

Published:
Washington, D.C. : United States. Dept. of Energy. Office of Energy Research, 2002.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description:
1,140 Kilobytes pages : digital, PDF file
Additional Creators:
Fermi National Accelerator Laboratory, United States. Department of Energy. Office of Energy Research, and United States. Department of Energy. Office of Scientific and Technical Information
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Summary:
A formula is derived, which allows efficient analytical evaluation of the long range beam-beam tune shifts and chromaticities with amplitude. It assumes that the beams are infinitely short, oppositely charged, and with Gaussian transversal profile. The formula employs an infinite sum with favorable convergence rates, making it well suited especially for the long range case. For a deeper understanding of the beam-beam effects, the structure of the formula was analyzed. It is shown that the tune shifts and chromaticities change sign at certain values of the separation and/or amplitude, and folds in the footprints are predicted. Some special cases were studied in more detail. Applications to the Tevatron are presented, including some proposed compensation schemes.
Report Numbers:
E 1.99:fermilab-tm-2171
fermilab-tm-2171
Subject(s):
Other Subject(s):
Note:
Published through SciTech Connect.
05/29/2002.
"fermilab-tm-2171"
Tanaji Sen; Bela Erdelyi.
Type of Report and Period Covered Note:
Topical;
Funding Information:
AC-2-76CH03000
View MARC record | catkey: 14680084