We revisit dark matter (DM) capture in celestial objects, including the impact of multiple scattering, and obtain updated constraints on the DM-proton cross section using observations of white dwarfs. Considering a general form for the energy loss distribution in each scattering, we derive an exact formula for the capture probability through multiple scatterings. We estimate the maximum number of scatterings that $can$ take place, in contrast to the number $required$ to bring a dark matter particle to rest. We employ these results to compute a "dark" luminosity $L_{\rm DM}$, arising solely from the thermalized annihilation products of the captured dark matter. Demanding that $L_{\rm DM}$ not exceed the luminosity of the white dwarfs in the M4 globular cluster, we set a bound on the DM-proton cross section: $\sigma_{p} \lesssim 10^{-44} {\rm cm}^2$, almost independent of the dark matter mass between 100 GeV and 1 PeV and mildly weakening beyond. This is a stronger constraint than those obtained by direct detection experiments in both large mass $\left(M \gtrsim 5 \,\,\rm TeV\right)$ and small mass $\left(M \lesssim 10\,\, \rm GeV\right)$ regimes. For dark matter lighter than 350 MeV, which is beyond the sensitivity of present direct detection experiments, this is the strongest available constraint.

Dark matter capture in celestial objects: Improved treatment of multiple scattering and updated constraints from white dwarfs

Spectrophotometric and photographic observations of the large amplitude variable V101 in the globular cluster M5 show it to have the characteristics of a dwarf nova. In particular, a spectrum obtained with the Hale 5 m reflector of the object in quiescence (V approximately equal to 20) shows strong, broad Balmer and He I emission. It is suggested that M5 V101 is the strongest case for the existence of close binary systems in globular clusters.

G. G. Fahlman

Papers

White dwarfs in globular clusters