Two-Particle Systems in the Berggren Basis

The theoretical and numerical developments of Chap. 3 can be directly applied to the two-body problem which is solvable in terms of relative and center-of-mass coordinates and reduces to a one-body problem therein. Consequently, it is possible to study two-nucleon systems, consisting of diproton, dineutron, and deuteron, with one-body Schrodinger equations. These systems are of fundamental importance in nuclear physics as they provide most of the information gathered on the nucleon-nucleon interaction. Moreover, diproton, dineutron, and deuteron ground states are either loosely bound or unbound, so that their study with the Berggren basis is all the more justified.