Fermilab Antiproton and Electron Optics for Electron Cooling

Abstract Optical issues for electron cooling in the Recycler [1, 2] are discussed. An optimal value of the antiproton beta-function depends on the cooling purposes (longitudinal or transverse), on the antiproton emitances and the energy spread. A proposal is suggested for the optimal optics at the so-called SS30HB interval in the Recycler, where electron cooling is supposed to be applied. Both electron cooling and the phase trombone requirements are taken into account. The electron optic scheme is also presented