Constraining the non-gravitational scattering of baryons and dark matter with early cosmic structure formation

We derive new constraints on the non-gravitational baryon-dark-matter scattering (BDMS) by evaluating the mass thresholds of dark matter (DM) haloes in which primordial gas can cool efficiently to form Population III (Pop III) stars, based on the timing of the observed 21-cm absorption signal. We focus on the BDMS model with interaction cross-section $\sigma=\sigma_{1}[v/(1
$\mathrm{k}\mathrm{m}{\mathrm{s}}^{-1}$)]^{-4}$,where$v$ is the relative velocity of the encounter. Our results rule out the region in parameter space with ${\sigma }_1\gtrsim {10}^{-19}\mathrm{c}{\mathrm{m}}^2$ and DM particle mass $m_{\chi }{c}^2\lesssim 3\times {10}^{-2}\mathrm{G}\mathrm{e}\mathrm{V}$, where the cosmic number density of Pop III hosts at redshift $z\sim 20$ is at least three orders of magnitude smaller than in the standard Lambda cold DM ($\mathrm{\Lambda }$CDM) case. In these BDMS models, the formation of Pop III stars is significantly suppressed for $z\gtrsim 20$, inconsistent with the timing of the observed global 21-cm absorption signal. For the fiducial BDMS model with $m_{\chi }{c}^2=0.3$ GeV and ${\sigma }_1=8\times {10}^{-20}\mathrm{c}{\mathrm{m}}^2$, capable of accommodating the measured absorption depth, the number density of Pop III hosts is reduced by a factor of $3-10$ at $z\sim 15-20$, when the 21-cm signal is imprinted, compared with the $\mathrm{\Lambda }$CDM model. The confluence of future detailed cosmological simulations with improved 21-cm observations promises to probe the particle-physics nature of DM at the small-scale frontier of early structure formation.