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

Jérôme Margueron (1) , Stéphane Goriely (2) , Marcella Grasso (1) , Gianluca Colo (3) , Hiroyuki Sagawa (4)

1 IPNO - Institut de Physique Nucléaire d'Orsay
2 IAA - Institut d'Astronomie et d'Astrophysique [Bruxelles]
3 Dipartimento di Fisica
4 Center for Mathematics and Physics

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.

Mots clés: Skyrme effective interaction; spin instabilities; time-odd nuclear interaction; nuclear masses

Domaines: Physique Nucléaire Théorique [nucl-th]

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, 2009, 36, pp.125103 ⟨10.1088/0954-3899/36/12/125103⟩. ⟨hal-00396806⟩