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Coherent Betatron Oscillation Modes due to Beam-Beam Interaction Coherent Betatron Oscillation Modes due to Beam-Beam Interaction 平田, 光司 ヒラタ, コウジ HIRATA, Koji 平田 ヒラタ HIRATA 光司 コウジ Koji HIRATA, Kohji metadata only access © 1988 Published by Elsevier B.V. A simple consideration is given of the eigenmodes of the coherent betatron oscillation excited by a series of sinusoidal kicks and influenced by the beam-beam interaction in e+e− colliding storage rings. The differences between tunes corresponding to the eigenmodes are just half of what is expected from rigid point like bunches. The discussion is mainly limited to the case where the beam-beam force is not so strong so that the bunches remain Gaussian and the linear approximation of the force is valid. The nonlinear effect is also discussed briefly. Elsevier 1988-06 eng journal article https://ir.soken.ac.jp/records/4741 https://doi.org/10.1016/0168-9002(88)90856-X 10.1016/0168-9002(88)90856-X 0168-9002 Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 269 1 7 22