Ground-State Binding Energies of Three Identical Particles Which Interact via Three Mutual Morse Potentials

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Abstract
Within the framework of Faddeev theory we calculate the binding energy of the lowest bound state of three identical particles. Excluding three-body potentials, the particles are assumed to interact mutually via a two-body Morse potential. Finally, our model calculations are applied to a system formed of three helium atoms. Using a Morse potential which is fitted to the He-He interaction potential calculated by Bertoncini and Wahl, our calculation predicts a stable triatomic helium molecule with a binding energy of 0.4°K, even though a diatomic helium molecule does not exist for the same well depth.