{ "id": "0804.1209", "version": "v1", "published": "2008-04-08T08:25:03.000Z", "updated": "2008-04-08T08:25:03.000Z", "title": "Application of Gaussian expansion method to nuclear mean-field calculations with deformation", "authors": [ "H. Nakada" ], "comment": "17 pages, 4 eps figures", "journal": "Nucl.Phys.A808:47-59,2008", "doi": "10.1016/j.nuclphysa.2008.05.011", "categories": [ "nucl-th" ], "abstract": "We extensively develop a method of implementing mean-field calculations for deformed nuclei, using the Gaussian expansion method (GEM). This GEM algorithm has the following advantages: (i) it can efficiently describe the energy-dependent asymptotics of the wave functions at large $r$, (ii) it is applicable to various effective interactions including those with finite ranges, and (iii) the basis parameters are insensitive to nuclide, thereby many nuclei in wide mass range can be handled by a single set of bases. Superposing the spherical GEM bases with feasible truncation for the orbital angular momentum of the single-particle bases, we obtain deformed single-particle wave-functions to reasonable precision. We apply the new algorithm to the Hartree-Fock and the Hartree-Fock-Bogolyubov calculations of Mg nuclei with the Gogny interaction, by which neck structure of a deformed neutron halo is suggested for $^{40}$Mg.", "revisions": [ { "version": "v1", "updated": "2008-04-08T08:25:03.000Z" } ], "analyses": { "subjects": [ "21.60.Jz", "21.10.Gv", "21.10.Dr", "27.30.+t" ], "keywords": [ "gaussian expansion method", "nuclear mean-field calculations", "application", "deformation", "orbital angular momentum" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier", "journal": "Nuclear Physics A", "year": 2008, "month": "Aug", "volume": 808, "number": 1, "pages": 47 }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 783015, "adsabs": "2008NuPhA.808...47N" } } }