Abstract

We numerically study the decay of massive and massless inflatons φ into massive excitations X, via a φ 2 X 2 coupling, in the expanding Universe. We find that a wide enough resonance can withstand expansion of the Universe, and we determine the range of parameters in which that happens. For a massive inflaton, the effective production of particles with mass ten times that of the inflaton requiresvery large values of the resonance parameter q, q ≳ 10 8. For these large q, the maximal size of produced fluctuations is significantly suppressed by back reaction, but at least in the Hartree approximation they are still not negligible. For a massless inflaton with a λφ 4 4 potential, the expansion of the Universe completely prevents resonant production of particles with masses larger than λ φ(0) for values of q smaller than 10 6.

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