Decay of massive particles in Robertson-Walker universes with statically bounded expansion laws

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Big Bang Cosmology, Boundary Value Problems, Decay Rates, Particle Mass, Universe, Gravitational Effects, Minkowski Space

Scientific paper

Mutually interacting quantum fields in 3-flat Robertson-Walker universes are examined. The decay of a massive scalar Phi particle into two massless scalar Psi particles is calculated exactly on the basis of the interaction picture and an in-out approach based on an S matrix. The cosmic scale factor alpha(eta) is thereby specified as (1) a step expansion law and (2) a tanh-expansion law which represents the prototype of a smoothed-out step law. The characteristic modifications of the Minkowskian decay spectrum are examined. A comparison of amplitudes and decay probabilities for the step and tanh expansion laws demonstrates that smoothing out the step introduces a gravitational influence of nonvanishing duration, which leads essentially to finite corrections of the step results.

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