Evolution of the amplitude distribution function for a beam subjected to stochastic cooling
The suggestion of S. van der Meer for stochastic cooling or feedback damping of a circulating charged particle beam offers promise of increasing the luminosity of a storage ring and may be a particularly attractive technique if antiprotons are to be employed as one of the beams in such a device. The original report of van der Meer considered the repeated use of a kicker to suppress the transverse phase-space displacement of the centroid of a group of particles detected at a pick-up station situated up-stream, and the report estimated the expected rate of damping of the mean-square oscillation amplitude. This analysis is extended so as to provide information on the manner in which the character of the amplitude distribution function may be affected by the damping procedure mentioned above. It is believed that information concerning the evolution of the form of the distribution function may be of particular interest in cases in which a ''halo'' is imposed on the distribution by injection of a group of particles to supplement those in a beam that has already been subjected to appreciable feedback damping. Results of the analytic work is illustrated, and compared with the results of simulation computations.
- Research Organization:
- California Univ., Berkeley (USA). Lawrence Berkeley Lab.
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 7211936
- Report Number(s):
- LBL-6459; CONF-770709-3; TRN: 77-019483
- Resource Relation:
- Conference: 10. international conference on high energy accelerators, Serpukhov, Union of Soviet Socialist Republics (USSR), 11 Jul 1977
- Country of Publication:
- United States
- Language:
- English
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