We have observed self-sustained radial oscillations in a large
magneto-optical trap (MOT), containing up to 1010 Rb85 atoms. This
instability is due to the competition between the confining force of the MOT
and the repulsive interaction associated with multiple scattering of light
inside the cold atomic cloud. A simple analytical model allows us to formulate
a criterion for the instability threshold, in fair agreement with our
observations. This criterion shows that large numbers of trapped atoms N>109
are required to observe this unstable behavior.Comment: submitted to Phys. Rev. Lett. 4 pages, 3 figure