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For heavy-ion synchrotrons an efficient Multi-Turn Injection (MTI) from theinjector linac is crucial in order to reach the specified currents using theavailable machine acceptance. The beam loss during the MTI must not exceed thelimits determined by machine protection and by the vacuum requirements.Especially for low energy and intermediate charge state ions, the beam loss atthe injection septum can cause a degradation of the vacuum and a correspondingreduction of the beam lifetime. In order to optimize the injection of intensebeams a very detailed simulation model was developed. Besides the closed orbitbump, lattice errors, the position of the septum and other aperture limitingcomponents the transverse space charge force is included self-consistently. Thespace charge force causes a characteristic shift of the optimum tunes and asmoothing of the phase space density.

Multi-turn injection into a heavy-ion synchrotron in the presence of space charge