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- Title
Towards a universal nuclear density functional.
- Authors
Fayans, S. A.
- Abstract
A new form of the nuclear energy-density 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 is fit to the Friedman–Pandharipande and Wiringa–Fiks–Fabrocini equation of state for the UV14 plus TNI model up to densities ρapprox. 1 fm[sup -3] by a fractional expression in ρ which can be extended to higher densities while preserving causality. For inhomogeneous systems, a surface energy-density term is added, with two free parameters, which also has a fractional form like the Padé approximant containing (∇ρ)[sup 2] in both the numerator and denominator. In addition to the Coulomb direct and exchange interaction energy, an effective ρ-dependent Coulomb-nuclear correlation term is included with one more free parameter. A three-parameter fit to the masses and radii of real nuclei shows that the latter term gives a contribution to the Coulomb displacement energy of the same order of magnitude as the Nolen–Schiffer anomaly. The first self-consistent run with the proposed functional, performed for about 100 spherical nuclei, gives rms deviations from experiment of approx. 1.2 MeV in the masses and approx. 0.01 fm in the radii, which are about a factor of two better than those obtained with the Skyrme functionals or with the Gogny force. The extrapolation to the drip lines lies in between the ETFSI and the macroscopic–microscopic model predictions. © 1998 American Institute of Physics.
- Subjects
DENSITY functionals; FINITE nuclei; SURFACE energy
- Publication
JETP Letters, 1998, Vol 68, Issue 3, p169
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/1.567841