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A single-turn (and single-bunch) injection often operates with an injection portion of high intensity, comparable with that of the circulating bunch. Collective effects due to transverse impedance provide interaction between groups of particles. This interaction may set serious limitations on the injection efficiency. We analyze the conditions of coherency of the betatron oscillations following the injection, while the beam is subject to decoherence resulting from the machine lattice nonlinearities. The theoretical results are supported by numerical tracking. The conclusions are compared with experimental data on dipole oscillations histories following the VEPP-2000 injection.
Sherstyuk et al. (Mon,) studied this question.
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