ON THE ALGEBRAIC-SOLUTION OF THE NONRELATIVISTIC 3-BODY PROBLEM - BOUND-STATES

It is shown that the Schrodinger equation for a non-relativistic three-body system can be written in closed form by using only nine generators of three independent O(2,1) algebras and a few physical parameters (three masses and potential characteristics). In the case of Coulomb three-body systems such a form contains only a finite number of terms and six physical parameters (three masses and three charges). For a number of Coulomb three-body systems with unit charges (i.e. X(+)X(+)Z(-) and X(+)Y(+)Z(-)), optimized parameters for simple approximate wavefunctions have been obtained.