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Through the magnetic braking and the launching of protostellar outflows,magnetic fields play a major role in the regulation of angular momentum in starformation, which directly impacts the formation and evolution of protoplanetarydisks and binary systems. The aim of this paper is to quantify those phenomenain the presence of non-ideal magnetohydrodynamics effects, namely the Ohmic andambipola r diffusion. We perform three-dimensional simulations of protostellarcollapses varying the mass of the prestellar dense core, the thermal support(the $\alpha$ ratio) and the dust grain size-distribu tion. The mass mostlyinfluences the magnetic braking in the pseudo-disk, while the thermal supportimpacts the accretion rate and hence the properties of the disk. Removing thegrains smaller than 0. 1 $\mu$m in the Mathis, Rumpl, Nordsieck (MRN)distribution enhances the ambipolar diffusion coefficient. Similarly toprevious studies, we find that this change in the distribution reduces themagnet ic braking with an impact on the disk. The outflow is also significantlyweakened. In either case, the magnetic braking largely dominates the outflow asa process to remove the angular momentum from t he disk. Finally, we report alarge ionic precursor to the outflow with velocities of several km s$^{-1}$,which may be observable.

Protostellar collapse: regulation of the angular momentum and onset of an ionic precursor