Abstract
We use the spherical shell model and the ball model for the structure of randomly oriented large clusters to study the vicinage effects on the cluster self-energy and stopping power. Collective excitations of the electron gas due to a swift cluster in the solid are described by the linear-response formalism. Wake effects in the cluster self-energy, in conjunction with the cluster size and the interparticle exclusion distance within the cluster, generate regions where the cluster structure may be globally stable against the Coulomb explosion, leaving ways to a partial cluster fragmentation in solids. This conclusion contrasts the results obtained by using Yukawa-type interionic potentials for the cluster self-energy, where the neglect of the wake effects leads to the symmetric Coulomb explosion of a fast C${}_{60}$ cluster.
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