Adiabatic contraction revisited: implications for primordial black holes

Abstract

We simulate the adiabatic contraction of a dark matter (DM) distribution during the process of the star formation, paying particular attention to the phase space distribution of the DM particles after the contraction. Assuming the initial uniform density and Maxwellian distribution of DM velocities, we find that the number $n(r)$ of DM particles within the radius $r$ scales like $n(r)\propto r^{1.5}$, leading to the DM density profile $\rho \propto r^{-1.5}$, in agreement with the Liouville theorem and previous numerical studies. At the same time, the number of DM particles $\nu (r)$ with periastra smaller than $r$ is parametrically larger, $\nu (r)\propto r$, implying that many particles contributing at any given moment into the density $\rho (r)$ at small $r$ have very elongated orbits and spend most of their time at distances larger than $r$. This has implications for the capture of DM by stars in the process of their formation. As a concrete example we consider the case of primordial black holes (PBH). We show that accounting for very eccentric orbits boosts the amount of captured PBH by a factor of up to $2\times 10^3$ depending on the PBH mass, improving correspondingly the previously derived constraints on the PBH abundance.

arXiv comment8 pages, 3 figures, discussions added to the "Simulation of DM orbits" part, fig.3 with several DM densities. Revised version to match published version

References in corpus (32)

• Planck 2013 results. XVI. Cosmological parameters
• New cosmological constraints on primordial black holes
• Response of dark matter halos to condensation of baryons: cosmological simulations and improved adiabatic contraction model
• Limits on the Macho Content of the Galactic Halo from the EROS-2 Survey of the Magellanic Clouds
• EGRET Observations of the Extragalactic Gamma Ray Emission
• Effect of Primordial Black Holes on the Cosmic Microwave Background and Cosmological Parameter Estimates
• A Dark-Matter Spike at the Galactic Center?
• Compact Stars as Dark Matter Probes
• Can Neutron stars constrain Dark Matter?
• Constraining Asymmetric Dark Matter through observations of compact stars
• Constraints on primordial black holes as dark matter candidates from capture by neutron stars
• The initial conditions of isolated star formation - VI. SCUBA mapping of prestellar cores
• EROS and MACHO Combined Limits on Planetary Mass Dark Matter in the Galactic Halo
• New constraints on primordial black holes abundance from femtolensing of gamma-ray bursts
• Precise constraints on the dark matter content of Milky Way dwarf galaxies for gamma-ray experiments
• Excluding Light Asymmetric Bosonic Dark Matter
• The Most Dark Matter Dominated Galaxies: Predicted Gamma-ray Signals from the Faintest Milky Way Dwarfs
• Dwarf spheroidal galaxy kinematics and spiral galaxy scaling laws
• Asymmetric dark matter and the Sun
• Constraints on primordial black holes as dark matter candidates from star formation
• Neutrinos From Particle Decay in the Sun and Earth
• Constraining Primordial Black-Hole Bombs through Spectral Distortions of the Cosmic Microwave Background
• Tidal capture of a primordial black hole by a neutron star: implications for constraints on dark matter
• Growth of Black Holes in the interior of Rotating Neutron Stars
• Capture of Inelastic Dark Matter in the Sun
• First asteroseismic limits on the nature of dark matter
• Solar constraints on asymmetric dark matter
• The WIMP capture process for dark stars in the early universe
• The discovery of X-ray binaries in the Sculptor Dwarf Spheroidal Galaxy
• X-ray binaries in Sculptor
• On the Timescale for Star Formation in Galaxies
• Improved Theoretical Predictions of Microlensing Rates for the Detection of Primordial Black Hole Dark Matter

Cited by in corpus (33)

• Gravitational Wave signatures of inflationary models from Primordial Black Hole Dark Matter
• Dark Matter Triggers of Supernovae
• Revisiting constraints on asteroid-mass primordial black holes as dark matter candidates
• Gravitational waves at interferometer scales and primordial black holes in axion inflation
• Mechanisms for Primordial Black Hole Production in String Theory
• Asymmetric Dark Matter Stars
• Primordial Black Holes and $r$-Process Nucleosynthesis
• Primordial black holes as dark matter and gravitational waves from bumpy axion inflation
• Effects of Critical Collapse on Primordial Black-Hole Mass Spectra
• nIFTy galaxy cluster simulations II: radiative models
• Primordial black hole dark matter from inflation: the reverse engineering approach
• Physical laboratory at the center of the Galaxy
• Primordial black holes with mass $10^{16}-10^{17}$ g and reionization of the Universe
• On tidal capture of primordial black holes by neutron stars
• Solar mass black holes from neutron stars and bosonic dark matter
• The double formation of primordial black holes
• Generation of Primordial Black Holes and Gravitational Waves from Dilaton-Gauge Field Dynamics
• Constraints on primordial black holes from observation of stars in dwarf galaxies
• Primordial black holes: constraints, potential evidence and prospects
• Giant Primeval Magnetic Dipoles
• Stellar convective cores as dark matter probes
• Dark matter indirect signals with long-lived mediators
• Constraints on asteroid-mass primordial black holes in dwarf galaxies using Hubble Space Telescope photometry
• Capture of primordial black holes in extrasolar systems
• Synthetic Gravitational Waves from a Rolling Axion Monodromy
• Detecting sublunar-mass primordial black holes with the Earth-Moon binary system
• Inflation with two-form field: the production of primordial black holes and gravitational waves
• Gravitational Waves from Primordial Black Holes and New Weak Scale Phenomena
• Dark-matter-induced transients over cosmic time: The role of star formation history profiles
• Gravitational waves from primordial black holes passing by neutron stars: observational prospects for the Galactic center
• Direct detection signatures of a primordial Solar dark matter halo
• Astroparticle physics with compact objects
• Primordial black holes capture by stars and induced collapse to low-mass stellar black holes