Condensed dark matter with a Yukawa interaction

Abstract

We explore the possible phases of a condensed dark matter (DM) candidate taken to be in the form of a fermion with a Yukawa coupling to a scalar particle, at zero temperature but at finite density. This theory essentially depends on only four parameters, the Yukawa coupling, the fermion mass, the scalar mediator mass, and the DM density. At low fermion densities we delimit the Bardeen-Cooper-Schrieffer (BCS), Bose-Einstein Condensate (BEC) and crossover phases as a function of model parameters using the notion of scattering length. We further study the BCS phase by consistently including emergent effects such as the scalar density condensate and superfluid gaps. Within the mean field approximation, we derive the consistent set of gap equations, retaining their momentum dependence, and valid in both the non-relativistic and relativistic regimes. We present numerical solutions to the set of gap equations, in particular when the mediator mass is smaller and larger than the DM mass. Finally, we discuss the equation of state (EoS) and possible astrophysical implications for asymmetric DM.

10+19 pages, 6+8 figures

References in corpus (11)

• Color superconductivity in dense quark matter
• Asymmetric Dark Matter
• Compact stars made of fermionic dark matter
• New Analysis of Neutron Star Constraints on Asymmetric Dark Matter
• Nuclear Structure of Bound States of Asymmetric Dark Matter
• Evaporation of dark matter from celestial bodies
• Dwarf spheroidal galaxies as degenerate gas of free fermions
• Mirror Neutron Stars
• Cores in Dwarf Galaxies from Fermi Repulsion
• Assessing the Fornax globular cluster timing problem in different models of dark matter
• Neutrino bound states and bound systems

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• Halo Formation from Yukawa Forces in the Very Early Universe
• Searching for New Physics in Ultradense Environment: a Review on Dark Matter Admixed Neutron Stars
• BCS in the Sky: Signatures of Inflationary Fermion Condensation
• Beyond Hawking evaporation of black holes formed by dark matter in compact stars
• Improved bounds on the bosonic dark matter with pulsars in the Milky Way
• Cold Dark Matter Based on an Analogy with Superconductivity
• Model for the propagation of fermions in a Bose-Einstein condensate
• Superfluidity in neutrino clusters