The treatment of two particles in the continuum in a Green's function theory of the (d,p)-reaction

It is shown that a numerical treatment of two particles in the continuum is possible in applying the Green's function method to the (d, p)-reaction. A basis set for shell model states including the continuum in an approximate way is established and applied to the expansion of the incoming deuteron wave function into these basis states. As a test for the convergence of this expansion the sum of the squares of the expansion coefficients is calculated and found to be 0.965 instead of 1. The main contribution comes from the bound-bound and the bound-continuum configurations. The continuum-continuum contributions can practically be neglected.