Physics – Accelerator Physics
Scientific paper
2006-05-10
Phys.Lett.A358:126-133,2006
Physics
Accelerator Physics
16 pages, 4 figures, to appear in Physics Letters A
Scientific paper
10.1016/j.physleta.2006.05.011
Space charge effects can be very important for the dynamics of intense particle beams, as they repeatedly pass through nonlinear focusing elements, aiming to maximize the beam's luminosity properties in the storage rings of a high energy accelerator. In the case of hadron beams, whose charge distribution can be considered as "frozen" within a cylindrical core of small radius compared to the beam's dynamical aperture, analytical formulas have been recently derived \cite{BenTurc} for the contribution of space charges within first order Hamiltonian perturbation theory. These formulas involve distribution functions which, in general, do not lead to expressions that can be evaluated in closed form. In this paper, we apply this theory to an example of a charge distribution, whose effect on the dynamics can be derived explicitly and in closed form, both in the case of 2--dimensional as well as 4--dimensional mapping models of hadron beams. We find that, even for very small values of the "perveance" (strength of the space charge effect) the long term stability of the dynamics changes considerably. In the flat beam case, the outer invariant "tori" surrounding the origin disappear, decreasing the size of the beam's dynamical aperture, while beyond a certain threshold the beam is almost entirely lost. Analogous results in mapping models of beams with 2-dimensional cross section demonstrate that in that case also, even for weak tune depressions, orbital diffusion is enhanced and many particles whose motion was bounded now escape to infinity, indicating that space charges can impose significant limitations on the beam's luminosity.
Bountis Tassos
Skokos Ch
No associations
LandOfFree
Space Charges Can Significantly Affect the Dynamics of Accelerator Maps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Space Charges Can Significantly Affect the Dynamics of Accelerator Maps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Space Charges Can Significantly Affect the Dynamics of Accelerator Maps will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-706271