Frequency map analysis of resonances in a nonlinear lattice with space charge

In storage rings for heavy ion fusion beam losses must be minimized. During bunch compression high space charge is reached and the reciprocal effects between the collective modes of the beam and the single particle lattice no nlinearities must be considered to understand the problem of resonance cros sing and halo formation. We show that the frequency map analysis of particl e in core models gives an adequate description of the resonance network and of the chaotic regions where the halo particles can diffuse. (C) 2001 Else vier Science B.V, All rights reserved.