Singularities in the gravitational capture of dark matter through long-range interactions

@article{Gaidu2022SingularitiesIT,
  title={Singularities in the gravitational capture of dark matter through long-range interactions},
  author={Cristian Gaidău and Jessie Shelton},
  journal={Journal of Cosmology and Astroparticle Physics},
  year={2022},
  volume={2022}
}
We re-examine the gravitational capture of dark matter (DM) through long-range interactions. We demonstrate that neglecting the thermal motion of target particles, which is often a good approximation for short-range capture, results in parametrically inaccurate results for long-range capture. When the particle mediating the scattering process has a mass that is small in comparison to the momentum transfer in scattering events, correctly incorporating the thermal motion of target particles… 
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