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

Instituto de F´isica y Matem´aticas, Universidad Michoacana de San Nicol´as de Hidalgo. Edificio C-3,Cd. Universitaria, C. P. 58040 Morelia, Michoac´an, M´exico.(Dated: February 5, 2008)In this manuscript we track the evolution of a system consisting of two self-gravitating virializedobjects made of a scalar field in the newtonian limit. The Schr¨odinger-Poisson system containsa potential with self-interaction of the Gross-Pitaevskii type for Bose Condensates. Our resultsindicate that solitonic behavior is allowed in the scalar field dark matter model when the totalenergy of the system is positive, that is, the two blobs pass through each other as should happenfor solitons; on the other hand, there is a true collision of the two blobs when the total energy isnegative.