On the Brueckner theory of pairing in semi-infinite nuclear matter beyond the local density approximation

The problem of pairing in semi-infinite nuclear matter is investigated within a Brueckner type approach beyond the local density approximation (LDA). The propagator of two non-interacting particles in the semi-infinite potential well is calculated numerically for the Saxon-Woods potential. The equation for the effective pairing interaction is solved for a bare interaction of the δ-form with the momentum cutoff which correctly reproduces the NN-scattering data in the low-energy limit. Results show significant deviations from the LDA predictions in the surface region.