ODYSSEUS: A Dynamic Strong-Strong Beam-Beam Simulation,” CBN

We have developed a simulation of the beam-beam interaction in e + e, storage ring colliders which is speci cally intended to reveal the dynamic collective behavior of the colliding beams. This program is a true 6-dimensional strong-strong simulation in which the electromagnetic elds of longitudinal slices of the colliding beams are recalculated for each slice collision. Broadband wake elds are included. No constraints are placed on the distribution of particles in the beams. This simulation makes it possible to characterize the beam-beam modes, to see whether the saturation of the beam-beam parameter is sometimes due to collective motion, to determine the thresholds for wake eld induced instabilities in the presence of the beam-beam interaction, and to determine the Landau damping rate for any beam-beam mode.