| Title |
Analytical Studies of Ion Beam Evolution under Coherent Electron Cooling |
| Authors |
- G. Wang, M. Blaskiewicz, V. Litvinenko
BNL, Upton, Long Island, New York, USA
- V. Litvinenko
Stony Brook University, Stony Brook, USA
|
| Abstract |
In the presence of coherent electron cooling (CeC), the evolution of the longitudinal profile of a circulating ion bunch can be described by the 1-D Fokker-Planck equation. We show that, in the absence of diffusion, the 1-D equation can be solved analytically for certain dependence of cooling force on the synchrotron amplitude. For more general cases, we solved the 1-D Fokker-Planck equation numerically and the numerical solutions have been used to benchmark our simulation code as well as providing fast estimations of the cooling effects.
|
| Funding |
Work supported by Brookhaven Science Associates, LLC under Contract No. DE-AC02-98CH10886 with the U.S. Department of Energy. |
| Paper |
download TUPMR009.PDF [0.620 MB / 3 pages] |
| Export |
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| Conference |
IPAC2016, Busan, Korea |
| Series |
International Particle Accelerator Conference (7th) |
| Proceedings |
Link to full IPAC2016 Proccedings |
| Session |
Poster Session |
| Date |
10-May-16 16:00–18:00 |
| Main Classification |
04 Hadron Accelerators |
| Sub Classification |
A11 Beam Cooling |
| Keywords |
ion, electron, synchrotron, simulation, scattering |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Christine Petit-Jean-Genaz (CERN, Geneva, Switzerland); Dong Eon Kim (PAL, Pohang, Republic of Korea); Kyung Sook Kim (PAL, Pohang, Republic of Korea); In Soo Ko (POSTECH, Pohang, Republic of Korea); Volker RW Schaa (GSI, Darmstadt, Germany) |
| ISBN |
978-3-95450-147-2 |
| Published |
June 2016 |
| Copyright |
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