4.5 Article

Surface energy coefficient of an N2LO Skyrme energy functional: A semiclassical extended Thomas-Fermi approach

期刊

PHYSICAL REVIEW C
卷 106, 期 5, 页码 -

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AMER PHYSICAL SOC
DOI: 10.1103/PhysRevC.106.054321

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  1. French Agence Nationale de la Recherche [19-CE31- 0015-01]
  2. CNRS/IN2P3 Computing Center

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We generalize the semiclassical approach of Grammaticos and Voros to N2LO Skyrme functionals to calculate the extended Thomas-Fermi expressions of the new densities and currents at N2LO level. Using a simple Fermi-like density profile in a one-dimensional model, we obtain an easy-to-use formula for the surface-energy coefficient, incorporating contributions from central, density-dependent, and spin-orbit terms up to h bar 2. This formula serves as a first attempt to constrain the surface properties of new N2LO Skyrme parametrizations. The tested N2LO parametrization in this paper exhibits a quantitatively similar shift compared to traditional Skyrme parametrizations.
We generalize to N2LO Skyrme functionals the semiclassical approach of Grammaticos and Voros in order to calculate the extended Thomas-Fermi expressions of the new densities and currents appearing at the N2LO level. Within a one-dimensional model of semi-infinite symmetric nuclear matter and using a simple Fermi-like density profile, we obtain an easy-to-use formula for the surface-energy coefficient including the contributions of the central, density-dependent, and spin-orbit terms up to h over bar 2. Such a formula can be easily used as a first attempt to constrain the surface properties of new N2LO Skyrme parametrizations. The N2LO parametrization tested in this paper is shown to exhibit a shift (compared with a full Hartree-Fock calculation) which is quantitatively similar to the one obtained with the traditional Skyrme parametrizations.

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