Direct detection of dark matter in SU(5) × U(1) supergravity

We compute the scattering rates for the lightest neutralino χ10 in the forthcoming germanium (73Ge + 76Ge) detector and a proposed lead detector (207Pb), within the framework of SU(5) × U(1) supergravity. We find that in only a small portion (≲ 10%) of the parameter spaces of this class of models, are the rates in the germanium detector above the expected initial experimental sensitivity of 0.1 events/kg/d. However, a much larger portion (≲ 40%) of the parameter spaces could be probed with an improved background rejection capability (0.01 events/kg/d) and/or a more sensitive detector (207Pb).