EFFECT OF RADIO FREQUENCY PROGRAMME NOISE ON THE STACKING PROCEDURES IN STORAGE RINGS [WITH PARTICULAR APPLICATION TO THE CERN ELECTRON STORAGE AND ACCUMULATING RING (CESAR)]

摘要

The theoretical description of the phenomena associated with radio-frequency acceleration in a synchronous particle accelerator is often given in terms of the so-called "bucket" theory, a bucket being a region of phase space containing the closed, almost circular, trajectories resulting from the Hamiltonian description of the motion of particles subject to the acceleration. When this motion is also subjected to small random perturbations, it is shown below that, under certain limiting conditions, a process similar to diffusion may occur tending to produce an average flow of particles across and between the individual trajectories of the unperturbed phase space.