Abstract
Considerable similarity between a positronium atom and an exciton in a quantum dot is indicated. Following this, we apply the calculation regime from the theory of excitons to describe an electron – positron pair near a free volume in matter where the positronium is created. It is shown that, in general, this actual confined state cannot be equated to a classical atom in vacuum.Besides the release of the energy of the pair in the phononic way during the Ps formation, we analyse the possibility of photonic deexcitation and show the way of calculation of its probability. The optical transitions speculated here are dependent on the electronic properties of the matter and, if detected, could allow improving experimental studies of solid matter properties with positron techniques.
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