Abstract
Gravitinos are produced in the reheating phase of the inflationary universe. We consider the destruction of light elements ( 4he, 3He and D) by the high energy photons produced by the decay of gravitinos. The spectrum of high energy photons, which was roughly treated previously, is obtained more precisely by a numerical integration of the Boltzmann equation and a constraint on the reheating temperature is derived. We conclude that the allowed reheating temperature is as high as 10 9−10 12 GeV for gravitinos with a mass between 100 GeV and 1 TeV and a much higher reheating temperature is allowed for gravitinos with mass greater than 1 TeV. This constraint is weaker than previous work by more than two orders of magnitude in the mass range above ∼300 GeV.
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