System of selfgravitating semidegenerate fermions with a cutoff of energy and angular momentum in their distribution function

We study the gravitational equilibrium of static, spherically symmetric, Newtonian systems consisting of a collisionless semidegenerate Fermi gas. A cutoff in the phase space distribution function of the particles is introduced in order to avoid the problems arising from the infinite radius of semidegenerate configurations when the usual Fermi-Dirac function is used. We consider, here, the more general case of a cutoff in energy and angular momentum, the latter giving an anisotropy in the velocity space. The treatment is applied to model massive galactic halos. Limits on the mass of the "inos" composing the halos are derived both from phase space constraints and from general features of the observed rotation curves in spiral galaxies.