Abstract
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 supersymmetric standard model, and use them to calculate the regenerated abundance of gravitinos as a function of the maximum reheating temperature T max. An upper limit on the gravitino mass density during cosmological nucleosynthesis requires T max <0.90 × 10 16 GeV and considerations of the entropy released when gravitinos decay require T max <2.2 × 10 13 GeV, while more careful analyses of their decay products' disruptive effects on light nuclei and on the microwave background radiation suggest T max < 10 9 − 10 10 GeV.
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