Exploring the supersymmetric parameter space by direct search for WIMPs

It is shown that the new data of the DAMA/NaI detector, combined with recent calculations of nuclear structure functions, provide the most stringent upper bounds on the WIMP-nucleon cross-section both for spin-dependent and for scalar interactions. It is proved that, for the first time, data from an experiment of direct search for WIMPs allow the exploration of a region of the supersymmetric parameter space not yet fully investigated at accelerators.