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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:
 [1]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States). Collider-Accelerator Dept.
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1575796
Alternate Identifier(s):
OSTI ID: 1579509
Report Number(s):
BNL-212389-2019-JAAM
Journal ID: ISSN 2469-9888; PRABCJ; TRN: US2102170
Grant/Contract Number:  
SC0012704; AC02-98CH10886
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
Journal Volume: 22; Journal Issue: 11; Journal ID: ISSN 2469-9888
Publisher:
American Physical Society (APS)
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. https://doi.org/10.1103/PhysRevAccelBeams.22.111002
Wang, G. Fri . "Evolution of ion bunch profile in the presence of longitudinal coherent electron cooling". United States. https://doi.org/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:
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Cited by: 2 works
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Works referenced in this record:

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Cooling rate for microbunched electron cooling without amplification
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