Abstract
The stopping power and straggling of an extended charge distribution at any velocity in a free electron gas are calculated in the RPA approximation at any degeneracy. Asymptotic expressions are given in the low and high velocity range for any charge with spherical symmetry. We pay attention to the determination of the critical distances of pointlike behaviour for a charge and uncorrelated behaviour for two separated charges. The particular cases of the di-cluster and of an ion with extended charge distribution are given particular attention.
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