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TY - CONF AU - Koscielniak, S.R. ED - Boland, Mark ED - Tanaka, Hitoshi ED - Button, David ED - Dowd, Rohan ED - Schaa, Volker RW ED - Tan, Eugene TI - Space-Charge Potential for Elliptical Beams J2 - Proc. of IPAC2019, Melbourne, Australia, 19-24 May 2019 CY - Melbourne, Australia T2 - International Particle Accelerator Conference T3 - 10 LA - english AB - This work is motivated by the weak-strong beam-beam effect as occurs in colliding charged-particle beams. We consider beams with elliptical cross section and power law binomial forms for the density distribution. We demonstrate explicitly how to construct analytically the space-charge potential inside the ’strong’ beam. This is essential to the program of calculating beam-beam effects for non-gaussian beams. PB - JACoW Publishing CP - Geneva, Switzerland SP - 69 EP - 71 KW - space-charge KW - beam-beam-effects KW - focusing KW - proton DA - 2019/06 PY - 2019 SN - 978-3-95450-208-0 DO - DOI: 10.18429/JACoW-IPAC2019-MOPGW005 UR - http://jacow.org/ipac2019/papers/mopgw005.pdf ER -