Possible Anti-Pfaffian Pairing of Composite Fermions in the Lowest   Landau Level
  We predict that an incompressible fractional quantum Hall state is likely to form at $\nu=3/8$ as a result of a chiral p-wave pairing of fully spin polarized composite fermions carrying four quantized vortices, and that the pairing is of the Anti-Pfaffian kind. Possible experimental ramifications are discussed. 
Sutirtha Mukherjee, Sudhansu S. Mandal, Arkadiusz W\'ojs, and J. K.   Jain
cond-mat.str-el