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 $m_e\le m_Z\le 2m_e$. 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.

References in corpus (4)

• Annihilation, bound state properties and photodetachment of the positronium negatively charged ion
• On the general theory of bound state spectra in the Coulomb few- and many-body systems
• On the interpolation formula for the bound state energies of atomic systems
• Asymptotic and interpolation series for the Coulomb three-body systems with unit charges