MUONIC 3-BODY COULOMB-SYSTEMS IN THE HYPERSPHERICAL APPROACH

Muonic three-body bound states and resonances are treated within a hyp erspherical adiabatic expansion scheme. A new method for determining t he basis functions of this expansion is developed: decomposing these f unctions into Faddeev-type components, an equivalent treatment of all two-body contributions, and thus the correct asymptotics, are guarante ed. This approach is characterized by its high symmetry and a consider able reduction of the numerical effort. Using partial wave and B-splin e expansions for the components, wave functions and energies of the dt mu and d(3)He mu molecules are calculated in extreme and uncoupled ad iabatic approximation. For dt mu good agreement with alternative calcu lations, which are based on a much higher number of expansion function s, is found, and the results for the d(3)He mu system are rather close to variational calculations.