Solution of Faddeev-type equations in the problem of two coulomb centers

The movement of a light particle in the field of two coulomb centers is considered. A system of equations for components of the total wave function with the appropriate asymptotic behaviour was used without using separation of variables. Effective potentials for a molecular ion of the hydrogen and the μ-mesic ion ddμ- are calculated. In the latter system the spectrum of a mesic molecule in a state with the total angular momentum L=0 is found. (orig.)