  In the absence of the physical understanding of the phenomenon, different
empirical laws have been used as approximation for distribution of dark matter
in galaxies and clusters of galaxies. We suggest a new profile which is not
empirical in nature, but motivated with the physical idea that what we call
dark matter is essentially the gravitational polarization of the quantum vacuum
(containing virtual gravitational dipoles) by the immersed baryonic matter. It
is very important to include this new profile in forthcoming studies of dark
matter halos and to reveal how well it performs in comparison with empirical
profiles. A good agreement of the profile with observational findings would be
the first sign of unexpected gravitational properties of the quantum vacuum.
