Renormalization Group Approach to the Beam-Beam Interaction in Circular Colliders
Accelerator Physics
2007-05-23 v1 Pattern Formation and Solitons
Abstract
Building on the Renormalization Group (RG) method the beam-beam interaction in circular colliders is studied. A regularized symplectic RG beam-beam map, that describes successfully the long-time asymptotic behavior of the original system has been obtained. The integral of motion possessed by the regularized RG map has been used to construct the invariant phase space density (stationary distribution function), and a coupled set of nonlinear integral equations for the distributions of the two colliding beams has been derived.
Keywords
Cite
@article{arxiv.physics/0106101,
title = {Renormalization Group Approach to the Beam-Beam Interaction in Circular Colliders},
author = {Stephan I. Tzenov},
journal= {arXiv preprint arXiv:physics/0106101},
year = {2007}
}
Comments
LaTeX, 12 pages