Abstract
The cooling of particles in storage rings depends on the coupling between the longitudinal and transverse “temperatures” of the stored beam. This coupling is studied in the limit of relatively sparse beams, and is found to depend sensitively on the relative strengths of the focusing forces in the two transverse dimensions, which determine the ratio of the periods of the betatron oscillations.
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Dedicated to Prof. Dr. P. Kienle on the occasion of his 60th birthday
Also Fermi National Accelerator Laboratory, currently a visitor at The Institute of Physics, Aarhus University, Aarhus, Denmark
One of us, (JPS), is indebted to Paul Kienle for many useful discussions on this subject and for his hospitality at GSI where some of the ideas in this note were formed. This research was supported by the U.S. Department of Energy, Office of Basic Energy Sciences, under contract W-31-19-Eng-38.
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Schiffer, J.P., Hangst, J.S. On the way towards crystallized beams: the transverse temperature of particle beams. Z. Physik A - Hadrons and Nuclei 341, 107–109 (1991). https://doi.org/10.1007/BF01281281
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DOI: https://doi.org/10.1007/BF01281281