On the optimum dispersion of a storage ring for electron cooling with highspace charge

With the intense electron beams used for cooling, matching of the ion and e lectron velocity over the largest possible fraction of the beam profile bec omes important. In this situation, a finite dispersion from the ring in the cooling section can lead to an appreciable gain in the transverse cooling speed. Based on a simple model of the cooling force, an expression for the "optimum" dispersion as a function of the electron beam intensity, the mome ntum spread and other properties of the ion beam will be derived. This simp le theory will be compared to measurements made on the low-energy ion ring (LEIR) at CERN during 1997. (C) 2000 Elsevier Science B.V. All rights reser ved.