Abstract

one expected in a cold dark matter (CDM) universe, at low widths. In particular, a comparison with synthetic galaxy samples populating state-of-the-art CDM simulations imply a factor of {approx}8 difference in the abundance of galaxies with w = 50 km s{sup -1} (increasing to a factor of {approx}100 when extrapolated to the ALFALFA limit of w = 20 km s{sup -1}). We furthermore identify possible solutions, including a keV warm dark matter scenario and the fact that HI disks in low-mass galaxies are usually not extended enough to probe the full amplitude of the galactic rotation curve. In this latter case, we can statistically infer the relationship between the measured HI rotational velocity of a galaxy and the mass of its host CDM halo. Observational verification of the presented relationship at low velocities would provide an important test of the validity of the established dark matter model.

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