Reheating-temperature independence of cosmological baryon asymmetry in Affleck-Dine leptogenesis

In this paper we point out that the cosmological baryon asymmetry in our universe is generated almost independently of the reheating temperature T-R in Affleck-Dine leptogenesis and it is determined mainly by the mass of the lightest neutrino, m(v1), in a wide range of reheating temperature T-R similar or equal to 10(5) - 10(12) GeV. The present baryon asymmetry predicts the m(v1) in a narrow region m(v1) similar or equal to (0.1-3) x 10(-9) eV. Such a small mass of the lightest neutrino leads to a high predictability on the mass parameter m(veve) contributing to the neutrinoless double beta decay. We also propose an explicit model in which such an ultralight neutrino can be naturally obtained.