Simulation studies of the transverse dipole mode multibunch instability for the SSC Collider

A computer program that assumes a point-like structure of the bunches, called TADIMMI, has been devised to study the dipole mode multibunch instability in the Superconducting Super Collider (SSC) Collider ring due to a single Positron-Electron Project (PEP) test rf cavity and the resistive wall. For the rf cavity, the following cases are considered: symmetric filling, where good agreement is obtained with ZAP code; nonsymmetric filling; elimination of the most dangerous mode of the cavity; De-Q of the cavity, where a damping ratio is obtained for the cavity; and the feedback system, where it is verified that the proposed system for the Collider will work. For the resistive wall, a resonator impedance model approximation is used, which allows use of the same computer program to study the instabilities and the associated feedback system. Comparison with the analytical approach (ZAP) is also made