Deviations from Fermi liquid behavior are well documented in the normal state ofthe cuprate superconductors, and some of these differences seem to be related topretransitional features appearing at temperatures above
T
c. The observationof a pseudogap, e.g., in ARPES experiments, is a familiar example of this physics. Onepotential explanation for this behavior involves preformed pairs with finite lifetimesexisting in the normal state above
T
c. In this way, two characteristictemperatures can be established. A higher one
T* at which pairs begin toform and the actual
T
c at which a phase-coherent superconducting phaseis established. In order to test these ideas we have investigated the negative
UHubbard model in two dimensions in the fully self-consistent ladder approximation atlow electron densities. In the non-self-consistent version of this theory the systemalways shows an instability toward Bose-condensation of infinite lifetime pairs. In contrastto this, pairs obtain a finite lifetime due to pair–pair interaction and thesharp two-particle bound state is strongly lifetime broadened when self-consistency isapplied. A quasiparticle scattering rate which varies linearly with temperature is alsofound. The fully self-consistent calculation we were able to perform employed a
k

-averaged approximation in which the self-energyloses its
k

-dispersion due to a
k

-average. This approximation is found to preservethe essential physics.
Negative-U Hubbard model - two-particle bound states - pseudogap - non-Fermi-liquid properties: 74.20 Mn 74.25.-q 74.25.Fy 74.25.Nf 74.72.-h 74.20-z