Fuzzy dark matter fails to explain the dark matter cores

Abstract: Ultrafaint dwarf galaxies (UFDs) are ideal for studying dark matter (DM) due to minimal baryonic effects. UFD observations suggest cored DM profiles. We find that the core radius -- stellar mass scaling predicted by fuzzy dark matter (FDM) is at $6.1\sigma$ tension with UFD observations. Combining observations from 27 UFDs, the required FDM mass $m_a = 3.2_{-0.6}^{+0.8}\times 10^{-21}\,{\rm eV}$ is also in conflict with existing Lyman-$\alpha$ bounds. Our results suggest that FDM cannot provide a consistent explanation for DM cores and imply $m_a > 2.2\times 10^{-21}\,{\rm eV}$ at to $2\sigma$ CL.