The possibility to get additional information about the amplitude of the elementary charge exchange reaction by means of charge exchange experiments with unpolarized deuteron was emphasized by A.B. Migdal and I.Y. Pomeranchuk in the early fifties.
The mathematical formalism for exchange scattering was developed, for example by L.I. Lapidus and N.W. Dean and others. The differential cross section of the exchange process on deuteron can be written as:
where Fd denotes the deuteron form factor. At zero momentum transfers (|t|~0) when Fd=1 this expression becomes