Abstract

We study the decay properties of multiply charged metal clusters based on the statistical models developed in nuclear physics. The evaporation widths of monomers and trimers are calculated with the Weisskopf formula, while the symmetric fission width is calculated with the transition state method (Bohr-Wheeler formula). A simple liquid drop model is used to calculate the separation energies. We apply this model for the calculation of the appearance size of multiply charged alkali and alkaline-earth metal clusters and compare with experiments. In the case of alkali metals, our model works quite well. On the other hand, in the case of alkaline-earth metals, the model does not reproduce the experiment very well. For a more reliable derivation of fission barriers, we perform the Kohn-Sham density functional calculation for doubly charged sodium clusters. Barriers for symmetric fission and for charged trimer emission are calculated for a magic cluster (Na42++) and for a non-magic cluster (Na38++).

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