Calculation of binding energy for muonic three-body systems in the hyperspherical approach

Muonic three-body bound states are investigated within a hyperspherical adiabatic expansion representation. We have used a method for determining the basis functions of the expansion, which consists of decomposing these functions into Faddeev-type components and an equivalent treatment of all two-body contributions. Through this approach, and using partial waves for components, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecules (pdmu,ptmu,dtmu) are calculated in extreme and uncoupled adiabatic approximation. The obtained results are very close to variational calculations.