Influence of electron cooler on dipole ion oscillations in high-current storage ring

In high-current ion rings, coherent motion of the electrons in the electron cooler should be considered as transverse drift in crossed fields: space-charge field of the ion beam and longitudinal magnetic field in the cooler. Taking this effect into account two-dimensional (4×4) martix of the ion coherent motion in the cooler has been derived. The limiting value of electron density in the cooler has been found by numerical claculation of the matrix determinant. It is shown that in a frame of this model limitation of the electron current is practically absent.