Ultra-Light Dark Matter Simulations and Stellar Dynamics: Tension in Dwarf Galaxies for $m < 5\times10^{-21} $ eV

We present numerical simulations of dark matter and stellar dynamics in Ultra Light Dark Matter halos tailored to mimic dwarf galaxies. For dark matter particle mass $m\approx 1\times 10^{-22}$ eV, dynamical heating causes the half-light radius to over-shoot surface brightness data of the Fornax galaxy. For $m\approx 1\times 10^{-21}$ eV, soliton core formation leads to a velocity dispersion peak incompatible with kinematics data. Extending the analysis to the Carina and Leo II galaxies, the tension persists up to $m\approx 5\times 10^{-21}$ eV. A caveat in our analysis is the omission of stellar self-gravity. This would not change dynamics today, but could affect extrapolation back in time if the stellar body was more compact in the past.
Comment: 13 pages, comments welcome!