A kink in the trial nucleon density at the center of cylindrical or plane-parallel Wigner-Seitz cells makes the fourth-order extended Thomas-Fermi energy divergent; only spherical-cell kinks are harmless.
Comparison between the Thomas-Fermi and Hartree-Fock-Bogoliubov Methods in the Inner Crust of a Neutron Star: The Role of Pairing Correlations
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abstract
We investigated the role of a pairing correlation in the chemical composition of the inner crust of a neutron star with the extended Thomas-Fermi method, using the Strutinsky integral correction. We compare our results with the fully self-consistent Hartree-Fock-Bogoliubov approach, showing that the resulting discrepancy, apart from the very low density region, is compatible with the typical accuracy we can achieve with standard mean-field methods.
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On variational trial functions in the extended Thomas-Fermi method
A kink in the trial nucleon density at the center of cylindrical or plane-parallel Wigner-Seitz cells makes the fourth-order extended Thomas-Fermi energy divergent; only spherical-cell kinks are harmless.