Two different tune measurement systems have been installed in the GSI
heavy-ion synchrotron SIS-18. Tune spectra are obtained with high accuracy
using these fast and sensitive systems. Besides the machine tune, the spectra
contain information about the intensity dependent coherent tune shift and the
incoherent space charge tune shift. The space charge tune shift is derived from
a fit of the observed shifted positions of the synchrotron satellites to an
analytic expression for the head-tail eigenmodes with space charge.
Furthermore, the chromaticity is extracted from the measured head-tail mode
structure. The results of the measurements provide experimental evidence of the
importance of space charge effects and head-tail modes for the interpretation
of transverse beam signals at high intensity
