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Extended Thomas-Fermi density functionals in the presence of a tensor interaction in spherical symmetry

Abstract : For a one-body Hamiltonian obtained from the energy-density functional associated with a Skyrme effective interaction, including a tensor force, semiclassical functional densities are derived in the framework of the Extended Thomas-Fermi method, in spherical symmetry, for the kinetic energy and spin-orbit density. The structure of the self-consistent mean-field potentials constructed with such semiclassical functionals is studied. The impact of the tensor force in particular on the spin-orbit form factor clearly indicates the necessity of including such tensor-force terms in the theoretical description of atomic nuclei and their possible influence on the shell structure of exotic nuclei.
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http://hal.in2p3.fr/in2p3-00260258
Contributor : Béatrice Forrler <>
Submitted on : Monday, March 3, 2008 - 4:09:15 PM
Last modification on : Thursday, June 17, 2021 - 3:18:40 PM

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J. Bartel, K. Bencheikh, J. Meyer. Extended Thomas-Fermi density functionals in the presence of a tensor interaction in spherical symmetry. Physical Review C, American Physical Society, 2008, 77, pp.024311. ⟨10.1103/PhysRevC.77.024311⟩. ⟨in2p3-00260258⟩

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