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Linear Beam-Beam Resonances due to Coherent Dipole Motion
Linear Beam-Beam Resonances due to Coherent Dipole Motion
平田, 光司
5
ヒラタ, コウジ
1000090173236
HIRATA, Koji
90173236
HIRATA, Kohji
6
KEIL, Eberhard
3272
application/pdf
We study the transverse motion of the barycentres of bunches in two beams that circulate in opposite direction in a storage ring, and are coupled by the beam-beam effect. The motion is described by a linear system of oscillators, and represented by a matrix. We distinguish between perfect machines in which the bunch parameters and the arc and interaction point parameters are all equal, and machines with errors in which at least one of these conditions is not satisfied.
We determine the regions in tune space where the motion is unstable, analytically for perfect machines, and numerically for machines with errors. We identify these regions as resonances related to the tunes of one of the two beams or to their sum. We establish which resonances are excited under given conditions. We find that more resonances occur in machines with errors than in perfect machines. By multi-particle tracking, we study the instability at finite amplitudes.
journal article
1996
VoR
application/pdf
Particle Accelerators
56
13
49
Particle Accelerators
0031-2460
https://ir.soken.ac.jp/record/4853/files/p13.pdf
https://ir.soken.ac.jp/records/4853
eng
Reprints available directly from the publisher. Photocopying permitted by license only
http://cds.cern.ch/record/293569/files/p13.pdf
© 1996 OPA (Overseas Publishers Association)