A Survey of Collective Instabilities for Electron, Proton and Antiproton Beams in the SPS

The CERN 400 GeV proton synchrotron (SPS) will be used as a 270 GeV proton-antiproton collider in the near future, and later as a 22 GeV electron/positron injector for LEP. New RF cavities with considerably higher shunt impedance will be installed for both schemes. The stability of the bunches under these conditions has been investigated using the computer program BBI which calculates a number of beam dynamical aspects.