Calculation of binding energy for the charge-nonsymmetric muonic molecules in the hyper-spherical approach

The hyper-spherical adiabatic expansion is a representation for the investigation of the muonic three-body bound states. In this research we have used the method of hyperspherical "surface" functions for charge-nonsymmetric muonic molecules (isotopes of helium-deuterium-muon). Through this approach, the binding energy of the ground state and the lowest eigenpotentials for the muonic molecular ions are calculated in extreme adiabatic approximation. The obtained results are close to other's calculation.