  In this paper, we would like to point out that in the scenario that the
right-handed neutrinos suddenly gain some masses much larger than the
temperature of the Universe at that time so that the washout effects for the
generated lepton asymmetry can be safely neglected, the flavored leptogenesis
(which crucially rely on the flavor non-universality of the washout effects)
cannot work in the usual way any more. For this problem, we put forward that
the flavor non-universality of the conversion efficiencies from the lepton
asymmetry to the baryon asymmetry via the sphaleron processes may play a
crucial role. And we will study if the requisite baryon asymmetry can be
successfully reproduced from such a mechanism in the scenarios that the
right-handed neutrino masses are hierarchical and nearly degenerate,
respectively. A detailed study shows that this mechanism can be viable in both
these two scenarios.
