Interaction of a coasting beam and a bunched beam with frequency slip

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Collisions between a coasting beam and a bunched beam can be so arranged that a particle in the coasting beam collides with the bunched beam only intermittently. A particle thus interacts with a bunch for a given number of revolutions, say q, and then slips away into the interbunch space. The process, with each cycle taking say, n revolutions, then continues. The possible effects of this intermittient type force are considered. The linear stopbands introduced are dealt with in detail. Growth rates are obtained as a function of q, assuming a Gaussian fall-off in the force. The stabilizing influence of ... continued below

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Pages: 21

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Month, M. & Ruggiero, A.G. January 1, 1973.

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Description

Collisions between a coasting beam and a bunched beam can be so arranged that a particle in the coasting beam collides with the bunched beam only intermittently. A particle thus interacts with a bunch for a given number of revolutions, say q, and then slips away into the interbunch space. The process, with each cycle taking say, n revolutions, then continues. The possible effects of this intermittient type force are considered. The linear stopbands introduced are dealt with in detail. Growth rates are obtained as a function of q, assuming a Gaussian fall-off in the force. The stabilizing influence of an azimuthally constant octupole field component is demonstrated. Isolated nonlinear resonances excited by the intermittent force are discussed. No quantitative treatment is given as far as concerns the stochastic nature of highly nonlinear systems. Also, the influence of feeding mechanisms, such as a time variation of the tune is neglected. If the number of revolutions between kicks, ~n is large, then there is the possibility of loss of correlation betveen kicks. The resulting diffusion is analyzed and diffusion rates are estimated. It was concluded that: (1) growth due to linear instabilities are effectively damped by making q large enough. The perturbation is turned on and off adiabatically and leaves no record of itself from cycle to cycle. The growth rate is linear in DELTA the beam-- beam linear tune shift per interaction and per revolution; (2) the diffusion induced by random processes causing the kicks to be uncorrelated produces a bearm growth rate which is quadratic in DELTA nu . Although it is smaller than the gradient stopband growth (for low q), it is essentially independent of tune (and so occurs for all particles) and it has no drop-off with q. In fact, for large q, it increases like q/sup 2/; and (3), an azimuthally constant octupole field component is an effective stabilizing influence against resonant growth. (auth)

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Pages: 21

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Dep. NTIS

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  • Other Information: Orig. Receipt Date: 30-JUN-74

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  • Report No.: BNL--18306
  • Grant Number: None
  • DOI: 10.2172/4420333 | External Link
  • Office of Scientific & Technical Information Report Number: 4420333
  • Archival Resource Key: ark:/67531/metadc1021378

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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

  • January 1, 1973

Added to The UNT Digital Library

  • Oct. 15, 2017, 10:09 p.m.

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  • Oct. 25, 2017, 10:17 p.m.

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Month, M. & Ruggiero, A.G. Interaction of a coasting beam and a bunched beam with frequency slip, report, January 1, 1973; Upton, New York. (digital.library.unt.edu/ark:/67531/metadc1021378/: accessed January 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.