Predictive model of fermionic dark matter halos with a quantum core and an isothermal atmosphere

Abstract

We develop a thermodynamical model of fermionic dark matter halos at finite temperature. Statistical equilibrium states may be justified by a process of violent collisionless relaxation in the sense of Lynden-Bell or from a collisional relaxation of nongravitational origin if the fermions are self-interacting. The most probable state (maximum entropy state) generically has a "core-halo" structure with a quantum core (fermion ball) surrounded by an isothermal atmosphere. The quantum core is equivalent to a polytrope of index $n=3/2$. The Pauli exclusion principle creates a quantum pressure that prevents gravitational collapse and solves the core-cusp problem of the cold dark matter model. The isothermal atmosphere (which is similar to the NFW profile of cold dark matter) accounts for the flat rotation curves of the galaxies at large distances. We numerically solve the equation of hydrostatic equilibrium with the Fermi-Dirac equation of state and determine the density profiles and rotation curves of fermionic dark matter halos.

References in corpus (27)

• Ultralight scalars as cosmological dark matter
• Too big to fail? The puzzling darkness of massive Milky Way subhaloes
• Cosmic Structure as the Quantum Interference of a Coherent Dark Wave
• Constraints on the Self-Interaction Cross-Section of Dark Matter from Numerical Simulations of the Merging Galaxy Cluster 1E 0657-5
• Understanding the Core-Halo Relation of Quantum Wave Dark Matter, $\psi$DM, from 3D Simulations
• GHASP : an H alpha kinematic survey of spiral and irregular galaxies. V. Dark matter distribution in 36 nearby spiral galaxies
• Erasing Dark Matter Cusps in Cosmological Galactic Halos with Baryons
• Improved Dynamical Constraints on the Masses of the Central Black Holes in Nearby Low-mass Early-type Galactic Nuclei And the First Black Hole Determination for NGC 205
• First star-forming structures in fuzzy cosmic filaments
• Accretion disk onto boson stars: a way to supplant black holes candidates
• Fuzzy Dark Matter and Dark Matter Halo Cores
• Ultra-light dark matter in disk galaxies
• Cosmological evolution of a complex scalar field with repulsive or attractive self-interaction
• Hinting a dark matter nature of Sgr A* via the S-stars
• Is there a Supermassive Black Hole at the Center of the Milky Way?
• Dwarf spheroidal galaxies as degenerate gas of free fermions
• The geodesic motion of S2 and G2 as a test of the fermionic dark matter nature of our galactic core
• Ruling out 3 keV warm dark matter using 21 cm-EDGES data
• Statistical mechanics and thermodynamic limit of self-gravitating fermions in D dimensions
• Landau equation for self-gravitating classical and quantum particles: Application to dark matter
• On the formation and stability of fermionic dark matter halos in a cosmological framework
• Cores in Dwarf Galaxies from Fermi Repulsion
• Jeans mass-radius relation of self-gravitating Bose-Einstein condensates and typical parameters of the dark matter particle
• Assessing the Fornax globular cluster timing problem in different models of dark matter
• A heuristic wave equation parameterizing BEC dark matter halos with a quantum core and an isothermal atmosphere
• Galactic Center constraints on self-interacting sterile neutrinos from fermionic dark matter ("ino") models
• Cosmologically Degenerate Fermions

Cited by in corpus (12)

• Confronting fuzzy dark matter with the rotation curves of nearby dwarf irregular galaxies
• Fermionic Dark Matter: Physics, Astrophysics, and Cosmology
• Maximum mass of relativistic self-gravitating Bose-Einstein condensates with repulsive or attractive $|\phi {|}^4$ self-interaction
• Kinetic theory of collisionless relaxation for systems with long-range interactions
• On the growth of supermassive black holes formed from the gravitational collapse of fermionic dark matter cores
• Galactic Rotation Curves of LSB Galaxies using core-halo FDM configurations
• Galaxy rotation favors prolate dark matter haloes
• Modelling the Track of the GD-1 Stellar Stream Inside a Host with a Fermionic Dark Matter Core-Halo Distribution
• Imaging fermionic dark matter cores at the center of galaxies
• Accretion discs onto supermassive compact objects: a portal to dark matter physics in active galaxies
• Thermodynamics of self-gravitating fermions as a robust theory for dark matter halos: Stability analysis applied to the Milky Way
• Structure-wide dark matter density depletion induced by local degeneracies