Abstract
An analytical model, particle tracking simulations, and beam measurements all reveal how space-charge forces counteract the beam decoherence.
Highlights
After an initial transverse offset the amplitude of the beam centroid oscillations decays due to the spread of individual particle frequencies
In the present work decoherence is studied with a focus on interplay of chromaticity, space charge, and image charges for bunched beams
Without intensity effects the relation of the transverse emittance and the oscillation amplitude following an arbitrary initial offset is given by Eq (3)
Summary
After an initial transverse offset the amplitude of the beam centroid oscillations decays due to the spread of individual particle frequencies. This process is usually called decoherence or phase-mixing. The initial stage of the decoherence process in intense bunches affected by space charge for arbitrary offsets is the subject of the present work.
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