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Physical Review C 76 (2007) 014312
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The tensor part of the Skyrme energy density functional. I. Spherical nuclei
T. Lesinski1, M. Bender2, 3, K. Bennaceur1, 2, T. Duguet4, J. Meyer1

We perform a systematic study of the impact of the J^2 tensor term in the Skyrme energy functional on properties of spherical nuclei. In the Skyrme energy functional, the tensor terms originate both from zero-range central and tensor forces. We build a set of 36 parameterizations, which covers a wide range of the parameter space of the isoscalar and isovector tensor term coupling constants, with a fit protocol very similar to that of the successful SLy parameterizations. We analyze the impact of the tensor terms on a large variety of observables in spherical mean-field calculations, such as the spin-orbit splittings and single-particle spectra of doubly-magic nuclei, the evolution of spin-orbit splittings along chains of semi-magic nuclei, mass residuals of spherical nuclei, and known anomalies of charge radii. Our main conclusion is that the currently used central and spin-orbit parts of the Skyrme energy density functional are not flexible enough to allow for the presence of large tensor terms.
1 :  IPNL - Institut de Physique Nucléaire de Lyon
2 :  DAPNIA - Département d'Astrophysique, de physique des Particules, de physique Nucléaire et de l'Instrumentation Associée
3 :  CENBG - Centre d'Etudes Nucléaires de Bordeaux Gradignan
4 :  NSCL, MSU - National Superconducting Cyclotron Laboratory, Michigan State University
Physique/Physique Nucléaire Théorique
tensor force – spin-orbit force – Skyrme interaction – single-particle energies – binding energies – charge radii
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