Surface behaviour of the pairing gap in a slab of nuclear matter

Abstract

The surface behaviour of the pairing gap previously studied for semi-infinite nuclear matter is analyzed in the slab geometry. The gap-shape function is calculated in two cases: (a) pairing with the Gogny force in a hard-wall potential and (b) pairing with the separable Paris interaction in a Saxon-Woods mean-field potential. It is shown that the surface features are preserved in the case of slab geometry, being almost independent of the width of the slab. It is also demonstrated that the surface enhancement is strengthened as the absolute value of chemical potential $|\mu |$ decreases which simulates the approach to the nucleon drip line.

arXiv comment12 pages, 2 figures

References in corpus (5)

• Nuclear isotope shifts within the local energy-density functional approach
• Global Properties of Spherical Nuclei Obtained from Hartree-Fock-Bogoliubov Calculations with the Gogny Force
• Surface behaviour of the pairing gap in semi-infinite nuclear matter
• Surface properties of nuclear pairing with the Gogny force in a simplified model
• A simple model for the microscopic effective pairing interaction

Cited by in corpus (8)

• Properties of the nuclear medium
• Non-empirical pairing energy density functional. First order in the nuclear plus Coulomb two-body interaction
• Effect of pairing correlations on incompressibility and symmetry energy in nuclear matter and finite nuclei
• Microscopic evaluation of the pairing gap
• Dineutron correlations in quasi two-dimensional systems in a simplified model and possible relation to neutron-rich nuclei
• Solution of the microscopic gap equation for a slab of nuclear matter with the Paris NN-potential
• Spatial correlation properties of the anomalous density matrix in a slab of nuclear matter with realistic NN-forces
• The microscopic pairing gap in a slab of nuclear matter for the Argonne v18 NN-potential