2020-07-11T23:55:03Zhttps://ir.soken.ac.jp/?action=repository_oaipmhoai:ir.soken.ac.jp:000048442019-12-12T05:40:34Z0000100001:00272
One-dimensional rigid Gaussian model of the beam-beam interactionOne-dimensional rigid Gaussian model of the beam-beam interactionenghttp://id.nii.ac.jp/1013/00004623/Journal ArticleHIRATA, Kohji光司, 平田A simple one-dimensional model of the beam-beam interaction (sheet-sheet interaction) and its rigid-Gaussian approximation for the coherent barycentre motion are studied in order to examine the usefulness of the rigidGaussian approximation. Effects of primordial separation between beams are studied in detail. The spontaneous beam separation for the integer resonance can be embedded in a cusp catastrophe structure as a special case. A new technique is introduced to the calculation of the beam-beam force for the multiparticle tracking, without relying on the Gaussian approximation. The rigid-Gaussian approximation is shown to be reliable enough for evaluating closed-orbit effects, except for some extremely exceptional cases.Particle Accelerators = Particle Accelerators 419311519930031-2460©1993 Gordon & Breach Science Publishers, S.A.