Regular Article

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

Department of Applied Mathematics University of Western Ontario, London, Ontario N6H 5B7, Canada

^a e-mail: alex1975frol@gmail.com

Received: 10 February 2020
Received in final form: 25 March 2020
Published online: 11 May 2020

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 ≤ m_Z ≤ 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.