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The transverse bunch spectrum and the transverse decoherence/recoherencefollowing an initial bunch offset are important phenomena in synchrotrons andstorage rings, and are widely used for beam and lattice measurements.Incoherent shifts of the particles betatron frequency and of the synchrotronfrequency modify the transverse spectrum and the bunch decoherence. In thisstudy we analyze the effects of transverse space charge and of the rfnonlinearity on the decoherence signals. The transverse bunch decoherence andthe resulting coherent spectra are measured in the SIS18 synchrotron at GSIDarmstadt for different bunch parameters. Particle tracking simulationstogether with an analytical model are used to describe the modifications in thedecoherence signals and in the coherent spectra due to space charge and the rfbucket nonlinearity.

Transverse Decoherence and Coherent Spectra in Long Bunches with Space Charge