Abstract
Fermion production in an external Coulomb field on a de Sitter expanding universe is studied. The amplitude and probability of pair production in an external Coulomb field are computed and the cases of large/small values of the expansion factor comparatively with the particle mass are studied. We obtain from our calculations that the modulus of the momentum is no longer a conserved quantity. We find that in the de Sitter space there are probabilities for production processes where the helicity is no longer conserved. For a vanishing expansion factor, we recover the Minkowski limit where the amplitude of this process vanishes. The rate of pair production in a Coulomb field is found to be important in the early Universe when the expansion factor was large comparatively with the particle mass.
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