An analytic model for the sub-galactic matter power spectrum in fuzzy dark matter halos

Abstract

Fuzzy dark matter (FDM), a scalar particle coupled to the gravitational field without self-interaction whose mass range is $m\sim 10^{-24}-10^{-20}\mathrm{eV}$, is one of the promising alternative dark matter candidates to cold dark matter. The quantum interference pattern, which is a unique structure of FDM, can be seen in halos in cosmological FDM simulations. In this paper, we first provide an analytic model of the sub-galactic matter power spectrum originating from quantum clumps in FDM halos, in which the density distribution of the FDM is expressed by a superposition of quantum clumps whose size corresponds to the de Broglie wavelength of the FDM. These clumps are assumed to be distributed randomly such that the ensemble averaged density follows the halo profile such as the Navarro-Frenk-White profile. We then compare the convergence power spectrum projected along the line of sight around the Einstein radius, which is converted from the sub-galactic matter power spectrum, to that measured in the strong lens system SDSS J0252+0039. While we find that the current observation provides no useful constraint on the FDM mass, we show that future deep, high spatial resolution observations of strong lens systems can tightly constrain FDM with the mass around $10^{-22}\mathrm{eV}$.

10 pages, 5 figures, accepted for publication in ApJ

References in corpus (7)

• Too big to fail? The puzzling darkness of massive Milky Way subhaloes
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• Narrowing the allowed mass range of ultralight bosons with the S2 star
• Analytical approach to core-halo structure of fuzzy dark matter
• Fuzzy Dark Matter in Relativistic Stars
• Modeling the core-halo mass relation in fuzzy dark matter halos
• Analytic approach to astrometric perturbations of critical curves by substructures
• Signatures of Fuzzy Dark Matter Inside Radial Critical Curves
• Ultra-light dark matter with non-canonical kinetics reopening the mass window
• Scaling relations, dynamical heating and tidal disruption in spin $s$ ultralight dark matter models
• Nearest neighbour analysis as a new probe for fuzzy dark matter