Abstract
In the linear solenoid channel, studied here, a half integer resonance is induced such that the normal ellip-tical motion of particles in x-x' phase space becomes hyperbolic, with particles moving to smaller x and larger x' as they pass down the channel. Thin absorbers placed at the focal points of the channel then cool the angular divergence of the beam by the usual ionization cooling mechanism where each absorber is followed by RF cavities. Chromatic aberration, the detuning effect consid-ered here, is where the momentum-dependent betatron frequency causes off- momentum particles to be out of resonance with the focusing lattice. Choosing suitable synchrotron motion parameters, the resonance condi-tion can be maintained. This paper reports the first simulation to test this prediction.
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