Abstract
Thomas-Fermi calculations for spherical nuclei including Coulomb forces are performed using the simple two- and three-body contact forces of the Skyrme type. Gradient correction terms of the v. Weizsäcker- and Bethe-type are studied phenomenologically. Agreement with experimental binding energies is found choosing the strength of the v. Weizsäcker contribution as given by the semiclassical expansion of the kinetic energy density, and fitting the strength of the Bethe term. The original v. Weizsäcker correction without attenuation factor leads to a good description of density profiles; however, it overestimates the surface energy appreciably.
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Eckart, G., Holzwarth, G. Selfconsistent thomas fermi method for spherical nuclei. Z Physik A 281, 385–389 (1977). https://doi.org/10.1007/BF01408187
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DOI: https://doi.org/10.1007/BF01408187