Analytical treatment of the nonlinear electron cloud effect and the combined effects with beam-beam and space charge nonlinear forces in storage rings

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GAO Jie. Analytical treatment of the nonlinear electron cloud effect and the combined effects with beam-beam and space charge nonlinear forces in storage rings[J]. Chinese Physics C, 2009, 33(2): 135-144. doi: 10.1088/1674-1137/33/2/012
GAO Jie. Analytical treatment of the nonlinear electron cloud effect and the combined effects with beam-beam and space charge nonlinear forces in storage rings[J]. Chinese Physics C, 2009, 33(2): 135-144.  doi: 10.1088/1674-1137/33/2/012 shu
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Received: 2008-07-11
Revised: 2008-10-09
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Analytical treatment of the nonlinear electron cloud effect and the combined effects with beam-beam and space charge nonlinear forces in storage rings

    Corresponding author: GAO Jie,
  • Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract: 

In this paper we treat first some nonlinear beam dynamics problems in storage rings, such as beam dynamic apertures due to magnetic multipoles, wiggles, beam-beam effects, nonlinear space charge effect, and then nonlinear electron cloud effect combined with beam-beam and space charge effects, analytically. This analytical treatment is applied to BEPCⅡ. The corresponding analytical
expressions developed in this paper are useful both in understanding the physics behind these problems and also in making practical quick hand estimations.

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