Variation of the damping partition numbers with particle energy deviation

Technical Report · Mon Oct 01 04:00:00 EDT 1984

DOI:https://doi.org/10.2172/6012960· OSTI ID:6012960

Delahaye, J P; Jaeger, J

Until now, calculation of the rates of change of the damping partition numbers with particle energy took into account only the effects of quadrupole fields. It has been found however, by tracking particles in the LEP Electron Positron Accumulator that the actual variation of the damping partition numbers with energy can be increased up to a factor three by introduction of sextupole fields. The present note gives a complete analytical expression for the variation of the damping partition numbers with particle energy to first order in ..delta..p/p. This expression is then used to illustrate in three different machines the order of magnitude of each of the contributing terms. We shall see that there are terms driven mainly by small radius bending magnets which cannot be neglected. 12 references, 1 table.

• Research Organization: Stanford Linear Accelerator Center, CA (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6012960
• Report Number(s): SLAC/AP-36; ON: DE85005704
• Country of Publication: United States
• Language: English

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