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In this manuscript we track the evolution of a system consisting of twoself-gravitating virialized objects made of a scalar field in the newtonianlimit. The Schr\"odinger-Poisson system contains a potential withself-interaction of the Gross-Pitaevskii type for Bose Condensates. Our resultsindicate that solitonic behavior is allowed in the scalar field dark mattermodel when the total energy of the system is positive, that is, the two blobspass through each other as should happen for solitons; on the other hand, thereis a true collision of the two blobs when the total energy is negative.Comment: 8 revtex pages, 11 eps figures. v2 matches the published version.  v2=v1+ref+minor_change

Scalar field dark matter: Head-on interaction between two structures