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We analyze a mean-field model of an atomic Bose-Einstein condensate parametrically coupled to a molecular condensate via a Raman photoassociation process. We show that an interplay of nonlinear interspecies and intraspecies interactions leads to the formation of mutually trapped states of a hybrid condensate, which are spatially localized and dynamically stable even without a trap.doi:10.1103/physreva.65.013609 fatcat:hu2taddpxnaitn3pdqiemoehxi