Evaporation of dark matter from celestial bodies

Abstract

Scatterings of galactic dark matter (DM) particles with the constituents of celestial bodies could result in their accumulation within these objects. Nevertheless, the finite temperature of the medium sets a minimum mass, the evaporation mass, that DM particles must have in order to remain trapped. DM particles below this mass are very likely to scatter to speeds higher than the escape velocity, so they would be kicked out of the capturing object and escape. Here, we compute the DM evaporation mass for all spherical celestial bodies in hydrostatic equilibrium, spanning the mass range $[10^{-10}-10^2]M_{\odot }$, for constant scattering cross sections and $s$-wave annihilations. We illustrate the critical importance of the exponential tail of the evaporation rate, which has not always been appreciated in recent literature, and obtain a robust result: for the geometric value of the scattering cross section and for interactions with nucleons, at the local galactic position, the DM evaporation mass for all spherical celestial bodies in hydrostatic equilibrium is approximately given by $E_c/T_{\chi }\sim 30$, where $E_c$ is the escape energy of DM particles at the core of the object and $T_{\chi }$ is their temperature. In that case, the minimum value of the DM evaporation mass is obtained for super-Jupiters and brown dwarfs, $m_{\mathrm{evap}}\simeq 0.7$ GeV. For other values of the scattering cross section, the DM evaporation mass only varies by a factor smaller than three within the range $10^{-41}{\text{cm}}^2\le {\sigma }_p\le 10^{-31}{\text{cm}}^2$, where ${\sigma }_p$ is the spin-independent DM-nucleon scattering cross section. Its dependence on parameters such as the galactic DM density and velocity, or the scattering and annihilation cross sections is only logarithmic, and details on the density and temperature profiles of celestial bodies have also a small impact.

36 pages, 9 figures. Minor corrections, improved figs. 6, 7 and 8; conclusions unchanged. Matches journal version

References in corpus (42)

• Modules for Experiments in Stellar Astrophysics (MESA)
• Mass-Radius Relationships for Solid Exoplanets
• Constraining the Maximum Mass of Neutron Stars From Multi-Messenger Observations of GW170817
• The Evolution of L and T Dwarfs in Color-Magnitude Diagrams
• The Dawes Review 2: Nucleosynthesis and stellar yields of low and intermediate-mass single stars
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Modeling GW170817 based on numerical relativity and its implications
• Separating gas-giant and ice-giant planets by halting pebble accretion
• Pulsating White Dwarf Stars and Precision Asteroseismology
• WIMP Annihilation and Cooling of Neutron Stars
• Detailed Models of super-Earths: How well can we infer bulk properties?
• The Mass of KOI-94d and a Relation for Planet Radius, Mass, and Incident Flux
• Compact Stars as Dark Matter Probes
• Transiting exoplanets from the CoRoT space mission VI. CoRoT-Exo-3b: The first secure inhabitant of the brown-dwarf desert
• Radius and Structure models for the First Super-Earth Planet
• Ab initio equations of state for hydrogen (H-REOS.3) and helium (He-REOS.3) and their implications for the interior of Brown Dwarfs
• Main-Sequence Effective Temperatures from a Revised Mass-Luminosity Relation Based on Accurate Properties
• White dwarf and subdwarf stars in the Sloan Digital Sky Survey Data Release 14
• Reevaluating the Mass-Radius Relation for Low-Mass, Main Sequence Stars
• New Analysis of Neutron Star Constraints on Asymmetric Dark Matter
• High-Energy Neutrinos From Dark Matter Particle Self-Capture Within the Sun
• Jupiter internal structure: the effect of different equations of state
• The mass-radius relationship from solar-type stars to terrestrial planets: a review
• Nuclear spin structure in dark matter search: The finite momentum transfer limit
• Dark matter burners
• Constraints on the maximum mass of neutron stars with a quark core from GW170817 and NICER PSR J0030+0451 data
• The Zero Age Main Sequence of WIMP burners
• Dark Matter Capture in the First Stars: a Power Source and Limit on Stellar Mass
• Deuterium burning in objects forming via the core accretion scenario - Brown dwarfs or planets?
• SOPHIE velocimetry of Kepler transit candidates. VIII. KOI-205 b: a brown-dwarf companion to a K-type dwarf
• The substellar companion in the eclipsing white dwarf binary SDSS J141126.20+200911.1
• Comment on "Multiscatter stellar capture of dark matter"
• Improved Treatment of Dark Matter Capture in White Dwarfs
• Uranus's anomalously low excess heat constrains strongly interacting dark matter
• Probing Dark Matter Self-Interaction in the Sun with IceCube-PINGU
• Planet-bound dark matter and the internal heat of Uranus, Neptune, and hot-Jupiter exoplanets
• (704) Interamnia: A transitional object between a dwarf planet and a typical irregular-shaped minor body
• Nuclear spin structure in dark matter search: The zero momentum transfer limit
• The fate of planetary cores in giant and ice-giant planets
• First Analysis of Jupiter in Gamma Rays and a New Search for Dark Matter
• Dark matter burners: Preliminary estimates
• GW170817 and GW190814: tension on the maximum mass

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