  In plasmas at very low temperatures formation of neutral atoms is dominated
by collisional three-body recombination, owing to the strong ~ T^(-9/2) scaling
of the corresponding recombination rate with the electron temperature T. While
this law is well established at high temperatures, the unphysical divergence as
T -> 0 clearly suggest a breakdown in the low-temperature regime. Here, we
present a combined molecular dynamics-Monte-Carlo study of electron-ion
recombination over a wide range of temperatures and densities. Our results
reproduce the known behavior of the recombination rate at high temperatures,
but reveal significant deviations with decreasing temperature. We discuss the
fate of the kinetic bottleneck and resolve the divergence-problem as the plasma
enters the ultracold, strongly coupled domain.
