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Neutrino Factory/Muon Collider Document 113-v1

Simple formulae for transverse cooling in a single-flip solenoidal channel

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Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
12 Apr 2000, 12:00
Contents Revised:
12 Apr 2000, 12:00
Metadata Revised:
12 Apr 2000, 12:00
Actually Revised:
14 Sep 2006, 13:35
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In MUCOOL note 92 we described a general linear theory for transverse ionization
cooling in solenoidal channels. This brief report will apply and illustrate our
theory to the recently proposed "single-flip" cooling channel. Simple specific
formulae are given for calculating the transverse emittance and angular momentum
in a "single-flip" cooling channel. The cooling behavior in a constant-focusing
channel is found to be different from that in a periodic-focusing channel:
after some initial cooling, instead of reaching an equilibrium, the emittance
grows linearly with the length of the channel.

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Notes and Changes:
Kwang-Je Kim and Chun-xi Wang
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