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

GAO Jie

doi:10.1088/1674-1137/33/2/012

Chinese Physics C> 2009, Vol. 33> Issue(2) : 135-144 DOI: 10.1088/1674-1137/33/2/012

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

GAO Jie ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

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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.

References

[1]

. GAO J. Nucl. Instrum. Methods A, 2000, 451(3): 5452. GAO J. Nucl. Instrum. Methods A, 2004, 516: 2433. GAO J. Analytical estimation of the beam-beam interac-tion limited dynamic apertures and lifetimes in e+e- cir-cular colliders, Nucl. Instrum. Methods A, 2001, 463: 504. GAO J. Emittance Growth and Beam Lifetime Limitations Due to Beam-Beam Effects in e+e- Storage Ring Colliders,SLAC-PUB. 2003 or LAL/RT 03-095. Sands M. The Physics of Electron Storage Rings, an Introduction, SLAC-1216. Piwinski A. Nucl. Instrum. Methods, 1970, 81: 1997. Toge N, Hirata K. Study on Beam-Beam Interactions for KEKB, KEK Preprint 94-1608. BEPC-Ⅱ Design Report9. GAO J. Nucl. Instrum. Methods A, 2001, 481: 75610. GAO J. On Parasitic Crossings and Their Limitations to e+e- Storage Ring Colliders, in LAL-RT-03-04. Dec 200311. Decking W, Brinkmann R. Space Charge Problems in the TESLA Damping Ring. Proceedings of EPAC2000. Vienna,Austria, 2000. 545

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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

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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

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

GAO Jie ^,

Corresponding author: GAO Jie,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2008-07-11
Accepted Date: 2008-10-09
Available Online: 2009-02-05

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.