Constraints on the mass and self-coupling of Ultra-Light Scalar Field Dark Matter using observational limits on galactic central mass

Abstract

It is well known that Ultra-Light Dark Matter (ULDM), usually scalar fields of mass $m\sim 10^{-22}\mathrm{eV}$, can solve some of the outstanding problems of the Cold Dark Matter (CDM) paradigm. Such a scalar field could have non-negligible self-coupling $\lambda$. In this work, using the known observational upper limit on the amount of centrally concentrated dark matter in a galaxy, we arrive at the observational constraints in the $\lambda -m$ (self coupling $-$ mass) parameter space. It is found that the observational limit on the mass $m$ of the ULDM depends upon the sign and strength of the self-interactions. We demonstrate that, for $m\sim 10^{-22}\mathrm{eV}$, self-coupling values of $\mathcal{O}(10^{-96})$ (corresponding to a scattering length of $a_s\sim 10^{-82}\mathrm{m}$) can be probed using limits on the dark matter mass within 10 pc of the centre of M87 galaxy. Our analysis suggests that if Ultra Light Axions (ULAs) form all of dark matter, its mass has to be less than $\sim 6\times 10^{-23}$ eV.

Some revisions with an updated figure; Agrees with the published version

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Cited by in corpus (12)

• Short Review of the main achievements of the Scalar Field, Fuzzy, Ultralight, Wave, BEC Dark Matter model
• Simulations of multi-field ultralight axion-like dark matter
• Self-interactions of ULDM to the rescue?
• Gravitational wave probes on self-interacting dark matter surrounding an intermediate mass black hole
• Supersonic friction of a black hole traversing a self-interacting scalar dark matter cloud
• Detecting dark matter oscillations with gravitational waveforms
• ULDM self-interactions, tidal effects and tunnelling out of satellite galaxies
• Accretion of Self-interacting Scalar Field Dark Matter Onto a Reissner-Nordström Black Hole
• Virialized Profiles and Oscillations of Self-interacting Fuzzy Dark Matter Solitons
• i-SPin 2: An integrator for general spin-s Gross-Pitaevskii systems
• Formation of solitons and their transitions in scalar-field dark matter models with a non-polynomial self-interaction potential
• Dynamical reconstruction of SPARC galactic halos within self-interacting fuzzy dark matter