One possible application of the more general formalism presented in this section is to treat dissociation when the LD potential is not simply the sum of two fragment potentials and hence the AD potential is not simply the interaction potential. An example of this kind of application is discussed in Sections 3.3 and 4. In that example, we apply the theory where LD is the two-body approximation, and AD is the many-body correction to the two-body approximation.