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

Abstract

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.

Authors:
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1575796
Alternate Identifier(s):
OSTI ID: 1579509
Report Number(s):
BNL-212389-2019-JAAM
Journal ID: ISSN 2469-9888; PRABCJ; 111002
Grant/Contract Number:  
AC02-98CH10886; SC0012704
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Name: Physical Review Accelerators and Beams Journal Volume: 22 Journal Issue: 11; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS

Citation Formats

Wang, G. Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling. United States: N. p., 2019. Web. doi:10.1103/PhysRevAccelBeams.22.111002.
Wang, G. Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling. United States. doi:10.1103/PhysRevAccelBeams.22.111002.
Wang, G. Mon . "Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling". United States. doi:10.1103/PhysRevAccelBeams.22.111002.
@article{osti_1575796,
title = {Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling},
author = {Wang, G.},
abstractNote = {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.},
doi = {10.1103/PhysRevAccelBeams.22.111002},
journal = {Physical Review Accelerators and Beams},
number = 11,
volume = 22,
place = {United States},
year = {2019},
month = {11}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.22.111002

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Works referenced in this record:

Microbunched Electron Cooling for High-Energy Hadron Beams
journal, August 2013


Cooling rate for microbunched electron cooling without amplification
journal, November 2018


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