{ "id": "0906.3508", "version": "v1", "published": "2009-06-18T19:10:54.000Z", "updated": "2009-06-18T19:10:54.000Z", "title": "Extended Skyrme interaction (II): ground state of nuclei and of nuclear matter", "authors": [ "Jérôme Margueron", "Stéphane Goriely", "Marcella Grasso", "Gianluca Colo", "Hiroyuki Sagawa" ], "comment": "18 pages, 4 tables, 6 figures", "categories": [ "nucl-th" ], "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.", "revisions": [ { "version": "v1", "updated": "2009-06-18T19:10:54.000Z" } ], "analyses": { "subjects": [ "21.10.Dr", "21.30.Fe", "26.60.-c", "21.65.-f" ], "keywords": [ "extended skyrme interaction", "nuclear matter", "ground state", "spin-density dependent terms", "standard skyrme interaction" ], "tags": [ "journal article" ], "publication": { "doi": "10.1088/0954-3899/36/12/125103", "journal": "Journal of Physics G Nuclear Physics", "year": 2009, "month": "Dec", "volume": 36, "number": 12, "pages": 125103 }, "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "inspire": 823579, "adsabs": "2009JPhG...36l5103M" } } }