From finite nuclei to the nuclear liquid drop: Leptodermous expansion based on self-consistent mean-field theory

P. G. Reinhard, M. Bender, W. Nazarewicz, T. Vertse

Research output: Contribution to journalArticle

85 Citations (Scopus)

Abstract

The parameters of the nuclear liquid drop model, such as the volume, surface, symmetry, and curvature constants, as well as bulk radii, are extracted from the nonrelativistic and relativistic energy density functionals used in microscopic calculations for finite nuclei. The microscopic liquid drop energy, obtained self-consistently for a large sample of finite, spherical nuclei, has been expanded in terms of powers of A-1/3 (or inverse nuclear radius) and the isospin excess (or neutron-to-proton asymmetry). In order to perform a reliable extrapolation in the inverse radius, the calculations have been carried out for nuclei with huge numbers of nucleons, of the order of 106. The Coulomb interaction has been ignored to be able to approach nuclei of arbitrary sizes and to avoid radial instabilities characteristic of systems with very large atomic numbers. The main contribution to the fluctuating part of the binding energy has been removed using the Green's function method to calculate the shell correction. The limitations of applying the leptodermous expansion to actual nuclei are discussed. While the leading terms in the macroscopic energy expansion can be extracted very precisely, the higher-order, isospin-dependent terms are prone to large uncertainties due to finite-size effects.

Original languageEnglish
Article number014309
JournalPhysical Review C - Nuclear Physics
Volume73
Issue number1
DOIs
Publication statusPublished - 2006

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nuclei
expansion
radii
functionals
nucleons
extrapolation
Green's functions
flux density
binding energy
curvature
asymmetry
neutrons
protons
energy
symmetry
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

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From finite nuclei to the nuclear liquid drop : Leptodermous expansion based on self-consistent mean-field theory. / Reinhard, P. G.; Bender, M.; Nazarewicz, W.; Vertse, T.

In: Physical Review C - Nuclear Physics, Vol. 73, No. 1, 014309, 2006.

Research output: Contribution to journalArticle

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