Subarcsecond international LOFAR radio images of the M82 nucleus at 118MHz and 154 MHz

We calculate the range of possible masses for dark spheres of bound fully degenerate fermions as a function of the fermion mass. The cosmological constant is included in our calculations. We deduce that the minimum fermion mass that is able to give rise to degenerate fermion clusters is ~0.02 g -1/4 eV, where g is the spin degeneracy parameter. We show that degenerate fermions of mc2 ˜ (15-30) g-1/4 eV can build bound degenerate dark haloes that could reproduce the values of the rotation velocities of galaxies. The masses and radii derived for these degenerate dark haloes of typical galaxies, without considering any cosmological information, agree with the Jeans masses and radii of a cosmological background of ~(20-30) g-1/4 eV degenerate fermions at redshift z ˜ 50. However, degenerate fermion objects of 1015 M· composed of these particles are too small to constitute the dark halo of galaxy clusters. We also derive degeneracy conditions for hot and cold dark matter fermions.