Extended Skyrme interaction (II): ground state of nuclei and of nuclear matter

Abstract

We study the effect of time-odd components of the Skyrme energy density functionals on the ground state of finite nuclei and in nuclear matter. The spin-density dependent terms, which have been recently proposed as an extension of the standard Skyrme interaction, are shown to change the total binding energy of odd-nuclei by only few tenths of keV, while the time-odd components of standard Skyrme interactions give an effect that is larger by one order of magnitude. The HFB-17 mass formula based on a Skyrme parametrization is adjusted including the new spin-density dependent terms. A comprehensive study of binding energies in the whole mass table of 2149 nuclei gives a root mean square (rms) deviation of 0.575 MeV between experimental data and the calculated results, which is slightly better than the original HFB-17 mass formula. From the analysis of the spin instabilities of nuclear matter, restrictions on the parameters governing the spin-density dependent terms are evaluated. We conclude that with the extended Skyrme interaction, the Landau parameters $G_0$ and $G_0^{\prime }$ could be tuned with a large flexibility without changing the ground-state properties in nuclei and in nuclear matter.

18 pages, 4 tables, 6 figures

References in corpus (4)

• Skyrme-Hartree-Fock-Bogoliubov nuclear mass formulas: Crossing the 0.6 MeV threshold with microscopically deduced pairing
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Spin-isospin nuclear response using the existing microscopic Skyrme functionals
• Extended Skyrme interaction (I): spin fluctuations in dense matter

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• Nuclear Equation of state for Compact Stars and Supernovae
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• Linear response of homogeneous nuclear matter with energy density functionals
• Empirical pairing gaps, shell effects, and di-neutron spatial correlation in neutron-rich nuclei
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• Spin-flip M1 giant resonance as a challenge for Skyrme forces
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• Global investigation of odd-even mass differences and radii with isospin dependent pairing interactions
• Spin-isospin Response in Finite Nuclei from an Extended Skyrme Interaction
• Sensitivity of $\beta$-decay rates to the radial dependence of the nucleon effective mass
• Relativistic Hartree-Fock Chiral Lagrangians with confinement, nucleon finite size and short-range effects
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses. II. Adjusting the spin-dependent terms