Variation of the damping partition numbers with particle energy deviation
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:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 6012960
- Report Number(s):
- SLAC/AP-36; ON: DE85005704
- Resource Relation:
- Other Information: Portions are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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STORAGE RINGS
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ELECTRON BEAMS
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DAMPING
ENERGY SPECTRA
LEP STORAGE RINGS
STANFORD LINEAR COLLIDER
ACCELERATOR FACILITIES
ACCELERATORS
BEAMS
CYCLIC ACCELERATORS
LEPTON BEAMS
LINEAR ACCELERATORS
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SPECTRA
SYNCHROTRONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics