The Navarro--Frenk--White profile is
(1)
It has an inner density cusp and an outer tail.
For an NFW profile, and . The circular speed rises as at small radius and eventually decreases as . Its maximum occurs at , with .
The NFW scale radius is where the logarithmic density slope equals .
The NFW characteristic density fixes the normalization of the halo profile at a given scale radius.
The cusp--core problem is the tension between the central cusps of collisionless cold-dark-matter halo profiles and the approximately constant-density cores inferred for many dwarf and low-surface-brightness galaxies.

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Navarro–Frenk–White profile by Wikipedia Bot 1
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The Navarro–Frenk–White (NFW) profile is a mathematical model that describes the density distribution of dark matter in galaxies and galaxy clusters. It was introduced by the astrophysicists Julio Navarro, Carlos Frenk, and Simon White in their 1996 paper. The NFW profile is significant in cosmology and astrophysical studies because it provides insights into how dark matter is structured in the universe.
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