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Neutrino Factory/Muon Collider Document 54-v1

Tune-Shift with Amplitude due to Nonlinear Kinematic Effect

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Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
05 Oct 1999, 12:00
Contents Revised:
05 Oct 1999, 12:00
Metadata Revised:
05 Oct 1999, 12:00
Actually Revised:
14 Sep 2006, 13:35
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Tracking studies of the Muon Collider 50 on 50 GeV collider
ring \cite{chuck} show that the on-momentum dynamic aperture is limited
to around 10$\sigma$ even with the chromaticity sextupoles turned
off. Numerical results from the normal form algorithm show
that the tune-shift with amplitude is surprisingly large. Both
analytical and numerical results are presented to show that
nonlinear kinematic effect originated from the large angles
of particles in the interaction region is responsible for
the large tune-shift which in turn limits the dynamic aperture.
A comparative study of the LHC collider ring is also presented to
demonstrate the difference between the two machines.

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Posted by Wan

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Notes and Changes:
W. Wan
Publication Information:
Proc. 1999 Particle Accelerator Conference, p395
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