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Stability of Barrier Buckets with Small or Zero RF-Barrier Separations

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Submitted by:
Kingyuen B. Ng
Updated by:
Kingyuen B. Ng
Document Created:
07 Apr 2005, 17:21
Contents Revised:
26 Apr 2005, 10:13
Metadata Revised:
26 Apr 2005, 10:13
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25 Apr 2005, 16:32
21 Apr 2005, 09:52
08 Apr 2005, 14:10
A barrier bucket with very small separation between the rf barriers (relative to the barrier widths) or even zero separation has its synchrotron tune decreasing rather slowly
from a large value towards the boundary of the bucket. As a result, large area at the bucket edges can become unstable under the modulation of rf voltage and/or rf phase. In addition, chaotic regions may form near the bucket center and extend outward under increasing modulation. Application
is made to those barrier buckets used in the process of momentum mining at the Fermilab Recycler Ring.

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Notes and Changes:
The label of Fig.5 has been changed.
Publication Information:
Fermilab Report FERMILAB-TM-2302-AD
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