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Quasilocal density functional theory and its application within the extended Thomas-Fermi approximation

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In this paper we propose a generalization of the density functional theory. The theory leads to single-particle equations of motion with a quasilocal mean-field operator, which contains a quasiparticle position-dependent effective mass and a spin-orbit potential. The energy density functional is constructed using the extended Thomas-Fermi approximation and the ground-state properties of doubly magic nuclei are considered within the framework of this approach. Calculations were performed using the finite-range Gogny D1S forces and the results are compared with the exact Hartree-Fock calculations

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SOUBBOTIN, V. B., TSELYAEV, V. I. and VIÑAS GAUSÍ, Xavier. Quasilocal density functional theory and its application within the extended Thomas-Fermi approximation. Physical Review C. 2003. Vol. 67, num. 1, pags. 014324-1-014324-14. ISSN 0556-2813. [consulted: 19 of August of 2026]. Available at: https://hdl.handle.net/2445/10999

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