Static electric polarizabilities and collective resonance frequencies of small metal clusters

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Abstract
The static electric dipole polarizabilities and surface plasma resonance frequencies of small metal clusters are calculated analytically. The resonance frequencies are evaluated self-consistently and are shown to depend sensitively on the density distribution of the valence electrons. The latter is described by the recently developed statistical approach to the electronic structure of metal clusters. Electric polarizabilities are derived from the results for the resonance frequencies and general sum rules. Very good agreement with experimental data is found.