The particle dynamics in the electron cooling system based on the modifiedbetatron

The electron cooling system with circulating electron beam is considered fo r the cooling of ions of energy of few GeV. The prototype of the electron c ooling system based on modified betatron for cooling of antiprotons in the Recycler ring (Fermilab) is under development in the JINR. The peculiaritie s of the modified betatron are its section structure, the longitudinal guid ing magnetic field and the quadrupole spiral field used to form a closed or bit. The longitudinal magnetic field provides the electron magnetisation an d long lifetime of the circulating electrons as the strong coupling between the horizontal and vertical degrees of freedom and leads to additional res onances. (C) 2000 Elsevier Science B.V. All rights reserved.