The RAR model was obtained in a self-gravitating system of fermions “Inos”, to account for the dark matter (DM) distribution in galaxies, providing thus degenerated quantum cores of mpc sizes with constant densities and expected core halos of the order of kpc, both in agreement with astrophysical data. Based on this configuration, we compute the DM phase space density (PSD) for dwarf galaxies, where the maximum PSD is located now at the central region of the system (< 1pc) with its corresponding DM particle mass. This feature leads us to think that even the non linear matter power spectrum (NLPS) at subhalo scales could be slightly modified due to these DM quantum cores. Hence, we describe such possible effects according to the halo model of structures considering extra correlations between quantum cores of this DM configuration.