Gravitationally bound BCS state as dark matter

Abstract

We explore the possibility that fermionic dark matter undergoes a BCS transition to form a superfluid. This requires an attractive interaction between fermions and we describe a possible source of this interaction induced by torsion. We describe the gravitating fermion system with the Bogoliubov-de Gennes formalism in the local density approximation. We solve the Poisson equation along with the equations for the density and gap energy of the fermions to find a self-gravitating, superfluid solution for dark matter halos. In order to produce halos the size of dwarf galaxies, we require a particle mass of $\sim 200\mathrm{eV}$. We find a maximum attractive coupling strength before the halo becomes unstable. If dark matter halos do have a superfluid component, this raises the possibility that they contain vortex lines.

16 pages, 3 figures, version accepted for publication in JCAP

References in corpus (8)

• Theory of Dark Matter Superfluidity
• Bose-Einstein condensation of dark matter solves the core/cusp problem
• Dark Matter Superfluidity and Galactic Dynamics
• Dwarf spheroidal galaxies as degenerate gas of free fermions
• Quantum calculation of vortices in the inner crust of neutron stars
• Galactic cold dark matter as a Bose-Einstein condensate of WISPs
• Dwarf spheroidal galaxies and Bose-Einstein condensate dark matter
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