Abstract
We propose a new mechanism producing a nonvanishing lepton number asymmetry, based on decays of heavy Majorana neutrinos. If they are produced out of equilibrium, as occurs in a preheating scenario, and are superpositions of mass eigenstates rapidly decaying, their decay rates contain interference terms provided the mass differences $\ensuremath{\Delta}m$ are small compared with the widths $\ensuremath{\Gamma}.$ The resulting lepton asymmetry, which is the analogue of the time-integrated $\mathrm{CP}$ asymmetry in a ${B}^{0}\ensuremath{-}{B}^{0}$ system, is found to be proportional to $\ensuremath{\Delta}m/\ensuremath{\Gamma}.$
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