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A recently proposed scenario for baryogenesis, called post--sphaleronbaryogenesis (PSB) is discussed within a class of quark--lepton unifiedframework based on the gauge symmetry SU(2)_L x SU(2)_R x SU(4)_c realized inthe multi--TeV scale. The baryon asymmetry of the universe in this model isproduced below the electroweak phase transition temperature after thesphalerons have decoupled from the Hubble expansion. These models embednaturally the seesaw mechanism for neutrino masses, and predict color-sextetscalar particles in the TeV range which may be accessible to the LHCexperiments. A necessary consequence of this scenario is the baryon numberviolating \Delta B=2 process of neutron--antineutron (n-\bar{n}) oscillations.In this paper we show that the constraints of PSB, when combined with theneutrino oscillation data and restrictions from flavor changing neutralcurrents mediated by the colored scalars imply an upper limit on the n-\bar{n}oscillation time of 5 x 10^{10} sec. regardless of the quark--leptonunification scale. If this scale is relatively low, in the (200-250) TeV range,\tau_{n-\bar{n}} is predicted to be less than 10^{10} sec., which is accessibleto the next generation of proposed experiments.

Post-Sphaleron Baryogenesis and an Upper Limit on the Neutron-Antineutron Oscillation Time