New approach for numerical solution of configuration-space Faddeev equations

A new computational scheme for solving the bound state configuration-space Faddeev equations is applied. The scheme is based on the spline-approximation and the adiabatic limit of Faddeev equations. An ordering of variables being in agreement with the limit was chosen. As a result the matrix of the eigenvalue problem has a sparse block structure. Calculations of the bound states of mu pp, mu dd, mu tt mesic molecules and <(p)over bar dd>, <(p)over bar tt> antiprotonic ones, were performed. To check the method, calculations of the binding energies for such systems as the positronium ion Ps(-), H-3 and He-3 were carried out. The results are compared with the best results of other authors.