
VOLUME 68 (1998)  ISSUE 3 
PAGE 161

Towards a universal nuclear density functional
Fayans S.A.
PACS: 21.10.Dr, 21.65.+f
Λ new form of the nuclear energydensity functional for describing the ground state properties of finite nuclei up to the drip lines and beyond is proposed. The volume part in this functional fits the Friedman Pandharipande and Wiringa Fiks Fabrocini equation of sate, for the UV14 plus TNI model up to the densities ρ ы I fm^{3}, by a fractional expression in ρ which can be extended to higher densities preserving causality. For inhomogeneous systems, a surface energydensity term is added, with two free parameters, which also has a fractional form like the Pade approximant containing (Vp)^{2} both in the numerator and in the denominator. In addition to the Coulomb direct and exchange interaction energy, an effective pdependent Coulombnuclear correlation term is included with one more free parameter. A threeparameter fit to the masses and radii of real nuclei shows that the latter term gives contribution of the same order of magnitude as the Nolen Schiffer anomaly in Coulomb displacement energy. The first selfconsistent run with the suggested functional, performed for about 100 spherical nuclei, has given the rms deviations from the experiment of w 1.2 MeV in masses and « 0.01 fm in radii, which is about a factor of two better than those obtained with the Skyrme functionals or with the Gogny force. The extrapolation to the drip lines goes in between the ETFSI and the macroscopicmicroscopic model predictions.

