Late-decaying Q-ball with BBN lifetime

In the Affleck-Dine mechanism of baryogenesis, non-topological solitons called Q-balls can be formed. In this work we study the Q-balls which decay during the Big Bang Nucleosythesis (BBN) era. We show that such late-decaying baryonic Q-balls with lifetime of about 10^3 s can provide a new developing mechanism for the BBN through a rolling baryon to photon ratio \eta, which can naturally explain the discrepancy of BBN prediction with the WMAP data on ^7Li abundance. For the late-decaying leptonic Q-balls with lifetime of about 10^6 s, we find that their decay product, gravitino, can serve as a dark matter candidate without overclosing the universe and, at the same time, can give an explanation of the approximate equality of dark and baryon matter densities.