Global properties of the skyrme-force-induced nuclear symmetry energy

Aug, 2005
4 pages
Published in:
  • Phys.Rev.C 74 (2006) 011301
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Abstract:
Large scale calculations are performed to establish the global mass dependence of the nuclear symmetry energy, asym(A)a_{sym}(A), which in turn depends on two basic ingredients: the mean-level spacing, ϵ(A)\epsilon(A), and the effective strength of the isovector mean-potential, κ(A)\kappa(A). Surprisingly, our results reveal that in modern parameterizations including SLy4, SkO, SkXc, and SkP these two basic ingredients of asyma_{sym} are almost equal after rescaling them linearly by the isoscalar and the isovector effective masses, respectively. This result points toward a new fundamental property of the nuclear interaction that remains to be resolved. In addition, our analysis determines the ratio of the surface-to-volume contributions to asyma_{sym} to be \sim1.6, consistent with hydrodynamical estimates for the static dipole polarizability as well as the neutron-skin.
Note:
  • 4 pages, 2 figures, 1 table
  • 21.30.Fe
  • 21.60.Jz