Simulation study on the energy dependence of the TMCI threshold in the CERN-SPS

This paper concentrates on theoretical studies of Transverse Mode Coupling Instability (TMCI) at the SPS. It shows the expected thresholds based on the HEADTAIL tracking model and on impedance values estimated from previous measurements. First, the effect of space charge is addressed as an important ingredient at the low energies. Subsequently, the change of TMCI threshold possibly induced by a higher injection energy into the SPS (plausible according to the upgrade studies) is investigated and a scaling law with energy is derived.