Abstract
It is shown that in the physically interesting domain of the parameter space of SU(5) supergravity grand unified theory, the Higgs-boson and Z poles dominate the annihilation of the lightest supersymmetric particle. Here the naive analyses on thermal averaging breaks down and formulas are derived which give a rigorous treatment over the poles. These results are then used to show that there exist significant domains in the parameter space where the constraints of proton stability and cosmology are simultaneously satisifed. New upper limits on light particle masses are obtained.