We present the first systematic study of the density structure of clouds found in a complete sample covering all major molecular clouds in the central molecular zone (CMZ; inner 200 pc) of the Milky Way. This is made possible with data from the Galactic Center Molecular Cloud Survey (GCMS), which is the first study resolving all major molecular clouds in the CMZ at interferometer angular resolution. We find that many CMZ molecular clouds have unusually shallow density gradients compared to regions elsewhere in the Milky Way. This is possibly a consequence of weak gravitational binding of the clouds. The resulting relative absence of dense gas on spatial scales 0.1 pc is probably one of the reasons why star formation (SF) in dense gas of the CMZ is suppressed by a factor 10, compared to solar neighborhood clouds. Another factor suppressing star formation is the high SF density threshold that likely results from the observed gas kinematics. Further, it is possible but not certain that the star formation activity and cloud density structure evolve systematically as clouds orbit the CMZ.
