  We measure the collision rate coefficient between laser cooled Rubidium (Rb)
atoms in a magneto-optical trap (MOT) and optically dark Rb+ ions in an
overlapping Paul trap. In such a mixture, the ions are created from the MOT
atoms and allowed to accumulate in the ion trap, which results in a significant
reduction in the number of steady state MOT atoms. A theoretical rate equation
model is developed to describe the evolution of the MOT atom number, due to
ionization and ion-atom collision, and derive an expression for the ion-atom
collision rate coefficient. The loss of MOT atoms is studied systematically, by
sequentially switching on the various mechanisms in the experiment. Combining
the measurements with the model allows the direct determination of the ion-atom
collision rate coefficient. Finally the scope of the experimental technique
developed here is discussed.
