The transverse space-charge force in tri-gaussian distribution

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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 ... continued below

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7 pages

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Ng, K.Y. December 1, 2005.

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Description

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.

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7 pages

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  • Report No.: FERMILAB-TM-2331-AD
  • Grant Number: AC02-76CH03000
  • DOI: 10.2172/879032 | External Link
  • Office of Scientific & Technical Information Report Number: 879032
  • Archival Resource Key: ark:/67531/metadc880921

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • December 1, 2005

Added to The UNT Digital Library

  • Sept. 21, 2016, 2:29 a.m.

Description Last Updated

  • Sept. 26, 2017, 12:27 p.m.

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Ng, K.Y. The transverse space-charge force in tri-gaussian distribution, report, December 1, 2005; Batavia, Illinois. (digital.library.unt.edu/ark:/67531/metadc880921/: accessed December 13, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.