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Title: Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling

Journal Article · · Physical Review Accelerators and Beams

In the presence of longitudinal coherent electron cooling, the evolution of the line-density profile of a circulating ion bunch can be described by the 1D Fokker-Planck equation. We show that, in the absence of diffusion, the 1D equation can be solved analytically for a particular dependence of the cooling force on the synchrotron amplitude. For more general cases with arbitrary diffusion, we solved the 1D Fokker-Planck equation numerically, and the numerical solutions have been compared with results from macroparticle tracking.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC02-98CH10886; SC0012704
OSTI ID:
1575796
Alternate ID(s):
OSTI ID: 1579509
Report Number(s):
BNL-212389-2019-JAAM; PRABCJ; 111002
Journal Information:
Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 22 Journal Issue: 11; ISSN 2469-9888
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (8)

Microbunched Electron Cooling for High-Energy Hadron Beams journal August 2013
Cooling rate for microbunched electron cooling without amplification journal November 2018
Particle Accelerator Physics book January 2015
Accelerator Physics book December 2004
Wilson Prize article: Reflections on our experiences with developing the theory of intrabeam scattering journal November 2018
Microbunched electron cooling with amplification cascades journal March 2019
Theory of Bunched Beam Stochastic Cooling journal August 1983
Coherent Electron Cooling journal March 2009

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