Mass-dependencies of the bound state properties for three-body positronium-like exitonic complexes

Abstract

Mass-dependencies of a number of bound state properties are investigated in some light two-electron exitonic complexes (or clusters) $Z^{+} e^{-} e^{-}$, where $m_e \le m_Z \le 2 m_e$. These exitonic complexes (or model ions) play a great role in modern solid state physics, since such complexes describe optical absorption in a number of semiconductors. We also derived and tested a number of accurate mass-interpolation formulas for these properties. In general, our mass-interpolation formulas allow one to predict (fast and accurately) numerical values of these bound state properties in the `new' exitonic complexes, i.e., in three-body exitonic complexes with new mass ratios.