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Neutrino Factory/Muon Collider Document 564-v1

Use of a Helical Channel with a Large Slip Factor for Bunch Recombination

Document #:
NFMCC-doc-564-v1
Document type:
MuCool Note
Submitted by:
Cary Y Yoshikawa
Updated by:
Cary Y Yoshikawa
Document Created:
16 May 2011, 10:54
Contents Revised:
16 May 2011, 10:59
Metadata Revised:
16 May 2011, 10:59
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NFMCC-doc-564-v0
16 May 2011, 10:54
Abstract:
Cooling scenarios for a high-luminosity Muon Collider require bunch recombination for optimal luminosity. In this report we note that the tunable slip factor of a helical transport channel (HTC) makes it a desirable component of a bunch recombiner. A HTC with a large slip factor is desirable for the bunch recombining transport, while more isochronous transport may be preferred for RF manipulations prior to bunch recombination. The effectiveness of a bunch recombiner that starts from a string of muon bunches is presented; the bunch centers are displaced in energy at 10 MeV intervals, with each bunch having 6-D emittances equivalent to that at the end of an HCC. Eleven bunches spread from 160 to 260 MeV are demonstrated to have kinematics at the end of the channel that favor them to be merged into a single bunch with greater than 99% efficiency, ignoring decays which would be roughly 3% over the 52 m long channel (Lz = 37m with pitch angle 45º) for 200 MeV muons. Future work will examine how to transform the mono-energetic bunches at the end of the HCC into those with displaced energies at which this study has started.
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