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Article Dans Une Revue Physical Review C Année : 2007

The tensor part of the Skyrme energy density functional. I. Spherical nuclei

Résumé

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.
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Dates et versions

hal-00140169 , version 1 (05-04-2007)
hal-00140169 , version 2 (05-04-2007)
hal-00140169 , version 3 (11-06-2007)
hal-00140169 , version 4 (27-07-2007)

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T. Lesinski, M. Bender, K. Bennaceur, T. Duguet, J. Meyer. The tensor part of the Skyrme energy density functional. I. Spherical nuclei. Physical Review C, 2007, 76, pp.014312. ⟨10.1103/PhysRevC.76.014312⟩. ⟨hal-00140169v4⟩
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