Abstract
The impact of a kination-dominated phase generated by a quintessential exponen-tial model on the thermal abundance of gravitinos and axinos is investigated. We find that their abundances become proportional to the transition temperature from the kination to the radiation era; since this temperature is significantly lower than the initial (''reheating'') temperature, the abundances decrease with respect to their values in the standard cosmology. For values of the quintessential energy-density parameter close to its upper bound, on the eve of nucleosynthesis, we find the following:
(i) for unstable gravitinos, the gravitino constraint is totally evaded;
(ii) if the gravitino is stable, its thermal abundance is not sufficient to account for the cold dark matter of the universe;
(iii) the thermal abundance of axinos can satisfy the cold dark matter constraint for values of the initial temperature well above those required in the standard cosmology.
A novel calculation of the axino production rate by scatterings at low temperature is also presented.