On stability of nanoscale electron-positron droplets

This paper presents the results of the total energy calculation for electroneutral electron-positron clusters with closed shells. The calculations were performed within the Random Phase Approximation with Exchange to take into account the many-particle correlations. The results show that the calculated energies per one electron-positron pair are lower than the corresponding energy per one pair of dipositronium molecule. The most stable electron-positron clusters are found for the cluster sizes in the interval of 20-40 pairs.