SPACE CHARGE LIMIT ON THE INTENSITY OF AN ION COASTING BEAM DURING ITS ELECTRON COOLING

The cooling of ion beams increases the strengths if their space charge forces and the nonlinearities of such forces. These variations change the stability conditions for transverse coherent oscillations of the ion beam and the shape of the stability diagram of these oscillations. The beam cooling holds until the coherent frequency shift of the beam approach the border of its stability diagram. Without special efforts this phenomenon defines a non-resonant limit on the attainable value of the Laslett tune shift of the ion beam during its e.g. electron cooling.