Theoretical study of the ionization of sodium clusters by an intense laser pulsewith a photon energy close to the surface plasmon resonance is presented. Theproposed model describes the resonance channel of cluster ionization viaexcitation of a multi-plasmon collective electron state that can subsequently decaythrough a single electron emission. The method of separation of the centreof mass coordinate from other electronic degrees of freedom has beenemployed to take into account the highly excited electronic states. Theautoionization decay rate of the multi-plasmon excited state together with theenergy and angular distributions of outgoing electrons has been obtained.
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