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This paper concerns the theory of direct A(d,p)B reactions and how practical3-body models of them are related to optical model potentials describing theinteraction of the deuteron's constituents and the target A. A new definitionof the nucleon optical potential is introduced which necessitates a carefulexamination of the boundary conditions involved in the associate coupledchannels problem. The new definition turns out to be convenient for making aconnection with the theory of the (d,p) reaction. The analysis is carried outwithin an antisymmetrised, translationally invariant formalism and provides afirm basis from a many-body point of view for the three-body force effectscalculated in previous work by Dinmore, Timofeyk, Al-Khalili and Johnson.

Three-body model of the d+A system in an antisymmetrised, translationally invariant many nucleon theory