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The pole of the two-particle T-matrix including the influence of thesurrounding medium is analyzed for an interacting Bose gas. The phase diagramof the Bose -Einstein condensation (BEC) depending on the temperature, density,scattering length, and momentum is derived from this pole. The criticalmomentum for the occurrence of superfluidity is obtained in this way. As a newobservation a two- particle binding energy is reported intimately connectedwith the occurrence of the BEC. It is suggested that this might havecosmological consequences on the dark energy problem.

Two-particle binding energy of interacting Bose gases