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We calculate the spin independent neutralino-proton cross section foruniversal SUGRA, non universal SUGRA and D-brane models with R-parityinvariance. The regions of maximum cross section in these models has started tobe probed by the current detectors. The minimum cross section generally is>~1\times 10^{-(9-10)}pb and hence will be accessible in the future detectors,barring special regions of parameter space where it can reduce to =~10^{-12}pb.However, the squarks and gluinos will be heavy (>~1 TeV) in the latter case,but still accessible at the LHC.Comment: 3 pages, latex, 3 figures, talk at DPF 2000, Columbus, OH, August  9-12, 200

Neutralino Proton Cross Sections in SUGRA and D-BRANE Models