Theory of Electron Cooling in a Magnetic Field

  • Allan Hvidkjær Sørensen
Part of the Ettore Majorana International Science Series book series (EMISS, volume 17)


We shall discuss the phase space compression of a “beam of antiprotons thermalizing in a continuously renewed, cold, dense electron beam moving parallel to the antiprotons with the same average velocity. The electrons are guided and confined throughout the interaction region “by a homogeneous, longitudinal magnetic field. In previous discussions of this so-called electron cooling effect the interaction of an antiproton with the cooling electron gas has “been treated as a series of independent two-body collisions.1–4 This leads to logarithmic divergences at large impact parameters, due to the neglect of polarization forces, and the difficulties are particularly severe because of the presence of the magnetic field. In this paper we shall briefly outline how these problems may be avoided through the application of a dielectric description of the electron gas. A comprehensive treatment of the cooling process containing a detailed discussion of both the binary and the dielectric description will be published in the very near future.5


Drag Force Logarithmic Divergence Electron Cool Longitudinal Magnetic Field Screen Length 
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    Y.S. Derbenev and A.N. Skrinsky, Part.Acc. 8:1 (1977).Google Scholar
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    Y.S. Derbenev and A.N. Skrinsky, Part.Acc. 8:235 (1978).Google Scholar
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    M. Bell, Part.Acc. 10:101 (1980).Google Scholar
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    T. Ogino and A.G. Ruggiero, Part.Acc. 10:197 (1980).Google Scholar
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    A.H. Sørensen and E. Bonderup, to be published in Nucl.Instr. Meth.Google Scholar
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    Y.S. Derbenev and I. Meshkov, “Studies on Electron Cooling of Heavy Particle Beams”, CERN 77–08(1977).Google Scholar

Copyright information

© Plenum Press, New York 1984

Authors and Affiliations

  • Allan Hvidkjær Sørensen
    • 1
  1. 1.Institute of PhysicsUniversity of AarhusAarhus CDenmark

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