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.
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Submitted on : Thursday, June 18, 2009 - 8:47:07 PM
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Jérôme Margueron, Stéphane Goriely, Marcella Grasso, Gianluca Colo, Hiroyuki Sagawa. Extended Skyrme interaction (II): ground state of nuclei and of nuclear matter. Journal of Physics G Nuclear Physics, Institute of Physics (IOP), 2009, 36, pp.125103 ⟨10.1088/0954-3899/36/12/125103⟩. ⟨hal-00396806⟩

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