Effect of Long Range Beam-Beam Interaction on the Stability of Coherent Dipole Motion
The coherent effect of beam-beam forces on the stability of the motion of beams as rigid bunches in a collider is studied by means of simulation. The number of bunches per beam is taken to be large, with many bunches colliding simultaneously within each interaction region. It is also assumed that they populate the beams uniformly, and that they are equally spaced. The interaction regions are all identical and evenly spaced. The collision forces are assumed to be one-dimensional linear kicks. Results for stability limits are presented, as a function of tune, for various beam configurations and several values of the crossing angle.