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The transverse decoherence of the bunch signal after an initial bunch displacement is an important process in synchrotrons and storage rings. It can be useful, for the diagnostic purposes, or undesirable. Collective bunch oscillations can appear after the bunch-to-bucket transfer between synchrotrons and can lead to the emittance blow-up. In order to preserve the beam quality and to control the emittance blow-up, transverse feedback systems (TFS) are used. But, TFS operation can also lead to emittance blow-up due to imperfections (noise, bandwidth limitation, time delay errors), which also depends on the TFS settings. In heavy ion and proton beams, like in SIS100 synchrotron of the FAIR project, transverse space charge strongly modify decoherence. The resulting transverse bunch decoherence and beam blow-up is due to a combination of the lattice settings (like chromaticity), nonlinearities (residual or imposed by octupole magnets), space-charge, and the TFS. We study these effects using particle tracking simulations with the objective of correct combinations for a controlled beam blow-up.
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