We use high-quality optical rotation curves of nine low-luminosity disc gal
axies to obtain the velocity profiles of the surrounding dark matter haloes
. We find that they increase linearly with radius at least out to the edge
of the stellar disc, implying that, over the entire stellar region, the den
sity of the dark halo is about constant.
The properties of the mass structure of these haloes are similar to those f
ound for a number of dwarf and low surface brightness galaxies, but provide
a more substantial evidence of the discrepancy between the halo mass distr
ibution predicted in the cold dark matter scenario and those actually detec
ted around galaxies. We find that the density law proposed by Burkert repro
duces the halo rotation curves, with halo central densities (rho (0) simila
r to 1-4 x 10(-24) g cm(-3)) and core radii (r(0) similar to 5-15 kpc) scal
ing as rho (0) proportional to r(0)(-2/3).