Comment on Probing the Dark Matter-Electron Interactions via Hydrogen-Atmosphere Pulsating White Dwarfs

In Phys. Rev. D 98, 103023 (2018), a novel scenario was proposed to probe the interactions between dark matter (DM) particles and electrons, via hydrogen-atmosphere pulsating white dwarfs (DAVs) in globular clusters. The estimation showed that the scenario could hopefully test the parameter space: $5 mathrm{GeV} le m_{chi} le 10^{4} mathrm{GeV}$ and $sigma_{chi,e} ge 10^{-40} mathrm{cm}^{2}$, where $m_{chi}$ is the DM particles mass and $sigma_{chi,e}$ is the elastic scattering cross section between DM and electron. In this comment, we have determined the exact lower limit of the testable DM particle mass $sim 1.38 - 1.58 mathrm{GeV}$, which depends on $sigma_{chi,e}$. This gives us a credible lower limit of the testable DM particle mass in above scenario, and provide a clear upper limit of the DM particle mass which we should consider in future research.