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

Abstract

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.

arXiv comment8 RevTeX pages, 16 EPS figures, submitted to Physical Review C

References in corpus (6)

• Shape Coexistence and the Effective Nucleon-Nucleon Interaction
• Local Density Approximation for proton-neutron pairing correlations. I. Formalism
• Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
• Time-odd components in the mean field of rotating superdeformed nuclei
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Fitting theories of nuclear binding energies

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