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TY - CONF AU - Yuan, Y.J. AU - Li, P. ED - Kuzin, Maksim V. ED - Schaa, Volker RW TI - Electron Cooler Introduced Perturbations on Ion Beam J2 - Proc. of COOL2019, Novosibirsk, Russia, 23-27 September 2019 CY - Novosibirsk, Russia T2 - Workshop on Beam Cooling and Related Topics T3 - 12 LA - english AB - The influence of electron cooler on stored ion beams in heavy ion synchrotron has been studied for many years. Usually, only the influence on lattice from the magnetic field of solenoid and toroids were considered, in addition to the cooling effect from Coulomb Scatter-ing. However, electron cooling experiments show that there exist limits on intensity of electron beam and the stored ion beams. Meanwhile, experiments of cooling with pulsed e-beam show structure instability that should be explained. The influence of electron beam induced electromagnetic field on ion beams was studied in this paper by means of Lie Algebraic method. The combined transport matrix of solenoid and e-beam field focusing is given. Application of the matrix may help to understand the above phenomena. PB - JACoW Publishing CP - Geneva, Switzerland SP - 99 EP - 101 KW - electron KW - focusing KW - solenoid KW - acceleration KW - lattice DA - 2019/11 PY - 2019 SN - 2226-0374 SN - 978-3-95450-218-9 DO - doi:10.18429/JACoW-COOL2019-TUPS09 UR - https://jacow.org/cool2019/papers/tups09.pdf ER -