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Neutrino Factory/Muon Collider Document 223-v1

Dispersion in a bent-solenoid channel with symmetric focusing

Document #:
Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
16 Oct 2001, 12:00
Contents Revised:
16 Oct 2001, 12:00
Metadata Revised:
16 Oct 2001, 12:00
Actually Revised:
14 Sep 2006, 13:35
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Longitudinal ionization cooling of a muon beam is essential for
muon colliders and will be useful for neutrino factories.
Bent-solenoid channels with symmetric focusing has been considered
for beam focusing and for generating the required dispersion in
the ``emittance exchange'' scheme of longitudinal cooling. In this
paper, we derive the Hamiltonian that governs the linear beam
dynamics of a bent-solenoid channel, solve the single-particle
dynamics, and give equations for determining the lattice
functions, in particular, the dispersion functions.
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Chun-xi Wang & Kwang-Je Kim
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