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VOLUME 68 (1998) | ISSUE 4 | PAGE 260
Local energy-density functional and density-dependent pairing in nuclear systems
PACS: 21.10.-k, 21.65.+f
An approach based on the local energy-density functional method for describing the ground-state properties of superfluid nuclei is presented. The generalized variational principle is formulated which corresponds, in the weak pairing approximation, to a full treatment of the Hartree-Fock-Bogoliubov problem with an effective contact pairing interaction. The Gor'kov equations for generalized Green's functions are treated exactly in the coordinate-space representation. The method is used to calculate the differential ob-servables including odd-even mass differences and odd-even effects in charge radii which occur to be very sensitive to the density dependence of the effective pairing force. A better knowledge of this density dependence allows one to make predictions for the pairing gap at the Fermi surface as a function of nuclear matter density.