  Transitions from a paired quantum Hall state to another quantum Hall state in
bilayer systems are discussed in the framework of the edge theory. Starting
from the edge theory for the Haldane-Rezayi state, it is shown that the
charging effect of a bilayer system which breaks the SU(2) symmetry of the
pseudo-spin shifts the central charge and the conformal dimensions of the
fermionic fields which describe the pseudo-spin sector in the edge theory. This
corresponds to the transition from Haldane-Rezayi state to Halperin's 331
state, or singlet d-wave to triplet p-wave ABM type paired state in the
composite fermion picture.
  Considering interlayer tunneling, the tunneling rate-capacitance phase
diagram for the $\nu=5/2$ paired bilayer system is discussed.
