Longitudinal space charge effect in slowly converging or diverging relativistic beams

Beginning with the Green function for a rod beam in a round beam pipe we derive the space charge induced average energy change and rms spread for relativistic beams that are slowly converging or diverging in round beam pipes, a result that tends to be much larger than the 1/γ^{2} dependence for para...

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Bibliographic Details
Main Authors: Karl L. F. Bane, Alexander W. Chao
Format: Article
Language:English
Published: American Physical Society 2002-10-01
Series:Physical Review Special Topics. Accelerators and Beams
Online Access:http://doi.org/10.1103/PhysRevSTAB.5.104401