Dependence of single-particle energies on coupling constants of the nuclear energy density functional

Details Dependence of single-particle energies on coupling constants of the nuclear energy density functional Dependence of single-particle energies on coupling constants of the nuclear energy density functional

2008-03-15

arxiv.org/abs/0803.2291v1

Phys.Rev.C77:064307,2008

Physics

Nuclear Physics

Nuclear Theory

8 RevTeX pages, 16 EPS figures, submitted to Physical Review C

Scientific paper

10.1103/PhysRevC.77.064307

We show that single-particle energies in doubly magic nuclei depend almost linearly on the coupling constants of the nuclear energy density functional. Therefore, they can be very well characterized by the linear regression coefficients, which we calculate for the coupling constants of the standard Skyrme functional. We then use these regression coefficients to refit the coupling constants to experimental values of single-particle energies. We show that the obtained rms deviations from experimental data are still quite large, of the order of 1.1 MeV. This suggests that the current standard form of the Skyrme functional cannot ensure spectroscopic-quality description of single-particle energies, and that extensions of this form are very much required.

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