Beams Document 2707-v1

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Some Understandings on Radial Motion at Transition in the Fermilab Booster

Document #:
Beams-doc-2707-v1
Document type:
Note
Submitted by:
Xi Yang
Updated by:
Xi Yang
Document Created:
20 Mar 2007, 17:28
Contents Revised:
20 Mar 2007, 17:28
Metadata Revised:
20 Mar 2007, 17:28
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Abstract:
The transition crossing is space charge dominated in the Fermilab Booster. Since the longitudinal space charge forces are defocusing below transition and focusing above transition, they generate the mismatch at transition, which causes the longitudinal emittance growth above transition. It’s proved by numerical simulation that such mismatch can be partially compensated by a particular radial motion at transition, which is operationally favored by the high intensity beam.
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