  We discuss the composite fermion pairing state in bilayer quantum Hall
systems. After the evaluation of the range of the inter-layer separation in
which the quantum Hall state is stabilized, we discuss the effect of
inter-layer tunneling on the composite fermion pairing state at \nu=1/2. We
show that there is a cusp at the transition point between the Halperin (3,3,1)
state and the Pfaffian state.
