Neutralino Proton Cross Sections in SUGRA and D-BRANE Models

We calculate the spin independent neutralino-proton cross section for universal SUGRA, non universal SUGRA and D-brane models with R-parity invariance. The regions of maximum cross section in these models has started to be 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.