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

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

2007-04-05

arxiv.org/abs/0704.0731v3

Physical Review C 76, (2007) 014312

Physics

Nuclear Physics

Nuclear Theory

38 pages, 36 figures; Minor corrections

Scientific paper

10.1103/PhysRevC.76.014312

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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