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Neutrino Factory/Muon Collider Document 36-v1

LBNL progress report on simulation and theoretical studies of muon ionization cooling

Document #:
Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
29 Jul 1999, 12:00
Contents Revised:
29 Jul 1999, 12:00
Metadata Revised:
08 Nov 2010, 15:46
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This informal progress report is composed of two sections. The first
comprises the simulations of transverse ionization cooling. The simulations
use initial beam parameters roughly corresponding to 1) the 15T alternating solenoid
example of the status report, 2) the final section of cooling for the Higgs factory
(31T alternating solenoid example), and 3) the
neutrino factory (as given by Palmer's input).
We do not have any correlation between energy and transverse
amplitude in the case of the Super-FOFO.
The major results are that a
6T FOFO channel should be investigated as a substitute for the 15T alternating
solenoid, a 10T Super-FOFO can achieve the final cooling needed for the Higgs factory,
and a 4T FOFO can be used instead of the 3T Super-FOFO proposed by Palmer
for the neutrino factory cooling. The latter is not compelling of course,
but is also the result of only initial studies. It performs better after 100m
then the Super-FOFO, but the latter case is clearly not optimized.

Some caveats should be
kept in mind: the {\em FOFO} ICOOL simulations use an ideal sinusoidal field
(that solves Maxwell's equations), while the {\em Super-FOFO} ICOOL simulations
use current sheets.

The second section of the report consists of theoretical and numerical
studies of the beta-function for a FOFO, Super-FOFO, and RFOFO. The RFOFO
is essentially a super-FOFO without the bucking coils. Analytical
estimates of the beta-function and momentum acceptance for these lattice
configurations are in with 10% of calculated values (typically,
overestimating the beta-function). The RFOFO theoretically can achieve the
Super-FOFO results, and a preliminary ICOOL demonstration of this is
reported. Analytical estimates for the change in the RMS longitudinal
emittance due to a pure drift section are derived and seen to be in
agreement with ICOOL results.

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Posted by Kim

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Notes and Changes:
Eun-San Kim, Charles Kim, Greg Penn, Andrew M. Sessler and Jonanthan S. Wurtele
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