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Title: The transverse space-charge force in tri-gaussian distribution

Abstract

In tracking, the transverse space-charge force can be represented by changes in the horizontal and vertical divergences, {Delta}x{prime} and {Delta}y{prime} at many locations around the accelerator ring. In this note, they are going to list some formulas for {Delta}x{prime} and {delta}y{prime} arising from space-charge kicks when the beam is tri-Gaussian distributed. They will discuss separately a flat beam and a round beam. they are not interested in the situation when the emittance growth arising from space charge becomes too large and the shape of the beam becomes weird. For this reason, they can assume the bunch still retains its tri-Gaussian distribution, with its rms sizes {sigma}{sub x}, {sigma}{sub y}, and {sigma}{sub z} increasing by certain factors. Thus after each turn, {sigma}{sub x}, {sigma}{sub y}, and {sigma}{sub z} can be re-calculated.

Authors:
;
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
879032
Report Number(s):
FERMILAB-TM-2331-AD
TRN: US0701385
DOE Contract Number:  
AC02-76CH03000
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; ACCELERATORS; DISTRIBUTION; SHAPE; SPACE CHARGE; Accelerators

Citation Formats

Ng, K.Y., and /Fermilab. The transverse space-charge force in tri-gaussian distribution. United States: N. p., 2005. Web. doi:10.2172/879032.
Ng, K.Y., & /Fermilab. The transverse space-charge force in tri-gaussian distribution. United States. doi:10.2172/879032.
Ng, K.Y., and /Fermilab. Thu . "The transverse space-charge force in tri-gaussian distribution". United States. doi:10.2172/879032. https://www.osti.gov/servlets/purl/879032.
@article{osti_879032,
title = {The transverse space-charge force in tri-gaussian distribution},
author = {Ng, K.Y. and /Fermilab},
abstractNote = {In tracking, the transverse space-charge force can be represented by changes in the horizontal and vertical divergences, {Delta}x{prime} and {Delta}y{prime} at many locations around the accelerator ring. In this note, they are going to list some formulas for {Delta}x{prime} and {delta}y{prime} arising from space-charge kicks when the beam is tri-Gaussian distributed. They will discuss separately a flat beam and a round beam. they are not interested in the situation when the emittance growth arising from space charge becomes too large and the shape of the beam becomes weird. For this reason, they can assume the bunch still retains its tri-Gaussian distribution, with its rms sizes {sigma}{sub x}, {sigma}{sub y}, and {sigma}{sub z} increasing by certain factors. Thus after each turn, {sigma}{sub x}, {sigma}{sub y}, and {sigma}{sub z} can be re-calculated.},
doi = {10.2172/879032},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Dec 01 00:00:00 EST 2005},
month = {Thu Dec 01 00:00:00 EST 2005}
}

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