Equilibrium Distribution and Tune Shift of Beams in a Linear Collider

Details Equilibrium Distribution and Tune Shift of Beams in a Linear Collider Equilibrium Distribution and Tune Shift of Beams in a Linear Collider

2002-08-21

arxiv.org/abs/physics/0208075v1

Physics

Accelerator Physics

Scientific paper

The evolution of two colliding beams in a linear accelerator can be described by two coupled Vlasov equations. In PEP-NOTE-325 by S. Kheifets and A. W. Chao the case without external focusing was considered. In this paper we derive the equilibrium distribution and the tune shift in the presence of external focusing. Motion is considered only in the vertical direction and the beams are presumed to be one-dimensional.

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