Cosmological gravitino regeneration and decay

We present a detailed study of gravitino production and decay subsequent to cosmological inflation. We calculate the cross sections for gravitino production in collisions of particles in the supersymemtric standard model, and use them to calculate the regenerated abundance of gravitinos as a function of the maximum reheating temperature Tsub(max). An upper limit on the gravitino mass density during cosmological nucleosynthesis requires Tsub(max) < 0.90 x 1016 GeV and considerations of the entropy released when gravitinos decay require Tsub(max) < 2.2 x 1013 GeV, while more careful analyses of their decay products' disruptive effects on light nuclei and on the microwave background radiation suggest Tsub(max) < 109-1010 GeV. (orig.)