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Non-identical particle femtoscopy at sqrt(s_NN)=200 AGeV in hydrodynamics with statistical hadronization

Non-identical particle femtoscopy probes not only the size of the emitting system, but also the emission asymmetries between particles of different mass, which are intimately related with the collective behavior of matter. We apply the technique to the simulations from the {\tt THERMINATOR}+Lhyquid model of the heavy-ion collisions at sqrt{s_{NN}}=200 AGeV. We present predictions for all common pair combinations and discuss their interpretation. Emphasis is put on extracting unique information about collective behavior of matter from the non-identical particle correlations and understanding the role of particles coming from decays of hadronic resonances. We also present, in detail, the technical aspects of the non-identical particle femtoscopy technique applied to data from the heavy-ion collisions. We list the sources of systematic errors coming from the method itself and the usual assumptions. We describe robust analysis methods and discuss their limitations.