Abstract
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 $(pd\ensuremath{\mu},pt\ensuremath{\mu},dt\ensuremath{\mu})$ are calculated in extreme and uncoupled adiabatic approximation. The obtained results are very close to variational calculations.
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