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Title: 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.

Authors:
; ;  [1]
  1. Institut Pluridisciplinaire Hubert Curien, CNRS/IN2P3, Universite Louis Pasteur, F-67000 Strasbourg (France)
Publication Date:
OSTI Identifier:
21068116
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 77; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevC.77.024311; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; BASIC INTERACTIONS; DENSITY; ENERGY DENSITY; FORM FACTORS; FUNCTIONALS; HAMILTONIANS; KINETIC ENERGY; L-S COUPLING; MEAN-FIELD THEORY; NUCLEAR STRUCTURE; NUCLEI; SEMICLASSICAL APPROXIMATION; SKYRME POTENTIAL; SPHERICAL CONFIGURATION; SPIN; SYMMETRY; TENSOR FORCES; THOMAS-FERMI MODEL

Citation Formats

Bartel, J, Bencheikh, K, Meyer, J, Laboratoire de Physique Quantique et Systemes Dynamiques, Departement de Physique, Universite de Setif, Setif, and Institut de Physique Nucleaire de Lyon, CNRS/IN2P3, Universite Lyon 1, F-69622 Villeurbanne. Extended Thomas-Fermi density functionals in the presence of a tensor interaction in spherical symmetry. United States: N. p., 2008. Web. doi:10.1103/PHYSREVC.77.024311.
Bartel, J, Bencheikh, K, Meyer, J, Laboratoire de Physique Quantique et Systemes Dynamiques, Departement de Physique, Universite de Setif, Setif, & Institut de Physique Nucleaire de Lyon, CNRS/IN2P3, Universite Lyon 1, F-69622 Villeurbanne. Extended Thomas-Fermi density functionals in the presence of a tensor interaction in spherical symmetry. United States. https://doi.org/10.1103/PHYSREVC.77.024311
Bartel, J, Bencheikh, K, Meyer, J, Laboratoire de Physique Quantique et Systemes Dynamiques, Departement de Physique, Universite de Setif, Setif, and Institut de Physique Nucleaire de Lyon, CNRS/IN2P3, Universite Lyon 1, F-69622 Villeurbanne. 2008. "Extended Thomas-Fermi density functionals in the presence of a tensor interaction in spherical symmetry". United States. https://doi.org/10.1103/PHYSREVC.77.024311.
@article{osti_21068116,
title = {Extended Thomas-Fermi density functionals in the presence of a tensor interaction in spherical symmetry},
author = {Bartel, J and Bencheikh, K and Meyer, J and Laboratoire de Physique Quantique et Systemes Dynamiques, Departement de Physique, Universite de Setif, Setif and Institut de Physique Nucleaire de Lyon, CNRS/IN2P3, Universite Lyon 1, F-69622 Villeurbanne},
abstractNote = {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.},
doi = {10.1103/PHYSREVC.77.024311},
url = {https://www.osti.gov/biblio/21068116}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 2,
volume = 77,
place = {United States},
year = {Fri Feb 15 00:00:00 EST 2008},
month = {Fri Feb 15 00:00:00 EST 2008}
}