Computer simulation of three-body quantum mechanics in quasiclassical limit using collective behavior method

In the direct numerical experiment three-body quantum system was studied in quasiclassical limit. The system represents $XYX$-system, where $X$ and $Y$ denote light and heavy particle correspondingly. The new common algorithm for studying few-body quantum systems (collective behavior method [1]–[4]) was used. Program complex which develops this algorithm was described. Theoretical model which can be considered as base for this algorithm in the case of three-particle systems was proposed. The evolutions of symmetric and anti-symmetric initial vibrational state were studied. The various distribution functions of angles and distances was obtained.