For an accurate investigation of the interaction between an intense ion bea
m and laser light, the dynamical effect on the ions due to laser cooling is
added in the kinetic description of the beam. This leads to a modified Vla
sov equation, which accounts for space-charge effects and for cooling. The
numerical solution of this model provides a suitable tool to study the dyna
mics of a laser cooled beam. Results from simulations are used here to show
both the validity of a perturbative analysis on the kinetic equation and t
he effects of intra-beam scattering in the cooling process. (C) 2000 Elsevi
er Science B.V. All rights reserved.