ON THE BRUECKNER THEORY OF PAIRING IN SEMIINFINITE 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 approximati on (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 solve d for a bare interaction of the delta-form with the momentum cutoff wh ich correctly reproduces the NN-scattering data in the low-energy limi t. Results show significant deviations from the LDA predictions in the surface region.