... mass scale M . Thus, the abundance of halos depends on the two functions(M ) and crit(z), each of which depends on the energy content of the universe and the values of the other cosmological ... curve), 20(long-dashed curve), and 30 (dot–dashed curve).IN THE BEGINNING: THE FIRST SOURCES OF LIGHT AND THE REIONIZATION OF THE UNIVERSE Rennan BARKANA, Abraham LOEB Institute for Advanced ... −aa: (43)Then the relationship between the linear overdensity of the dark matter dm and the linearoverdensity of the baryons b, in the limit of small k, can be written as (Gnedin and Hui,1998)bdm=1−k2k2F+...