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Neutrino Factory/Muon Collider Document 53-v1

Beam instability issues of the 50 GeV x 50 GeV muon collider ring

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Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
03 Oct 1999, 12:00
Contents Revised:
03 Oct 1999, 12:00
Metadata Revised:
03 Oct 1999, 12:00
Actually Revised:
14 Sep 2006, 13:35
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Single bunch instabilities for the 50 GeV $\times$ 50 GeV muon collider
are discussed. An impedance budget of the collider is estimated.
A phase-slip factor of $|\eta|=1\times\!10^{-6}$ is desired to avoid
excessive rf systems. Potential-well distortion of a smooth bunch
can be compensated by rf cavities. Accumulated growth in energy due to
imperfections and noises in the muon bunch can be reduced by smoothing
the bunch distribution before injection. The growth due longitudinal
microwave instability is small because of the compensated rf cavities,
the finite lifetime of the muons, and the choice of a small $|\eta|$.
Beamloadings in the compensating rf cavities are large and suitable
feed-forward cancellation is required. Transverse microwave instability
can be damped by chromaticities and octupoles. Beam breakup can be
cured by Balakin-Novokhatsky-Smirnov damping in principle, but is nontrivial
in practice. When beam breakup is small, it can possibly be damped by a
betatron tune spread in the beam.

Published in Phys. Rev. ST Accel. Beams 2, 091001 (1999) in 17 pages.
Also published as Fermilab Report FN-678, 1999.
Posted muc0053.pdf to WWW
Posted by Ng

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K.Y. Ng
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