Study of Coulombian three-body system is a basic phenomenon in muon catalyzed fusion (µCF). In this investigation, separation of variables in the base of adiabatic expansion, have been applied to the mesic three-body molecule, 3Heµd using hyper-spherical elliptic coordinate system. The corresponding eigenvalue problem has been solved and the adiabatic potential and the binding energy of this system are calculated. The obtained results agreed with the expected values of various theoretical methods
