Constraints on Axion Models
  Two particular classes of axion models are presented, each one yielding a lower bound on the axion decay constant, based though on different considerations. In the first class only some, and not all, of the right-handed quarks have PQ charges, whereas in the second one the left-handed sector of the same quarks is taken into account as well. In the first case we find that bounds coming from astrophysics are significantly relaxed compared with those for the DFSZ. As for the second class, the astrophysical constraints proved to be less severe (with one exception), than those coming from FCNC processes. 
Mark Hindmarsh and Photis Moulatsiotis (Sussex)