dorsal/arxiv
View SchemaShell structure of superheavy nuclei in self-consistent mean-field models
| Authors | M. Bender, K. Rutz, P. -G. Reinhard, J. A. Maruhn, W. Greiner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9906030 |
| URL | https://arxiv.org/abs/nucl-th/9906030 |
| DOI | 10.1103/PhysRevC.60.034304 |
| Journal | Phys.Rev. C60 (1999) 034304 |
Abstract
We study the extrapolation of nuclear shell structure to the region of superheavy nuclei in self-consistent mean-field models -- the Skyrme-Hartree-Fock approach and the relativistic mean-field model -- using a large number of parameterizations. Results obtained with the Folded-Yukawa potential are shown for comparison. We focus on differences in the isospin dependence of the spin-orbit interaction and the effective mass between the models and their influence on single-particle spectra. While all relativistic models give a reasonable description of spin-orbit splittings, all non-relativistic models show a wrong trend with mass number. The spin-orbit splitting of heavy nuclei might be overestimated by 40%-80%. Spherical doubly-magic superheavy nuclei are found at (Z=114,N=184), (Z=120,N=172) or (Z=126,N=184) depending on the parameterization. The Z=114 proton shell closure, which is related to a large spin-orbit splitting of proton 2f states, is predicted only by forces which by far overestimate the proton spin-orbit splitting in Pb208. The Z=120 and N=172 shell closures predicted by the relativistic models and some Skyrme interactions are found to be related to a central depression of the nuclear density distribution. This effect cannot appear in macroscopic-microscopic models which have a limited freedom for the density distribution only. In summary, our findings give a strong argument for (Z=120,N=172) to be the next spherical doubly-magic superheavy nucleus.
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"abstract": "We study the extrapolation of nuclear shell structure to the region of\nsuperheavy nuclei in self-consistent mean-field models -- the\nSkyrme-Hartree-Fock approach and the relativistic mean-field model -- using a\nlarge number of parameterizations. Results obtained with the Folded-Yukawa\npotential are shown for comparison. We focus on differences in the isospin\ndependence of the spin-orbit interaction and the effective mass between the\nmodels and their influence on single-particle spectra. While all relativistic\nmodels give a reasonable description of spin-orbit splittings, all\nnon-relativistic models show a wrong trend with mass number. The spin-orbit\nsplitting of heavy nuclei might be overestimated by 40%-80%. Spherical\ndoubly-magic superheavy nuclei are found at (Z=114,N=184), (Z=120,N=172) or\n(Z=126,N=184) depending on the parameterization. The Z=114 proton shell\nclosure, which is related to a large spin-orbit splitting of proton 2f states,\nis predicted only by forces which by far overestimate the proton spin-orbit\nsplitting in Pb208. The Z=120 and N=172 shell closures predicted by the\nrelativistic models and some Skyrme interactions are found to be related to a\ncentral depression of the nuclear density distribution. This effect cannot\nappear in macroscopic-microscopic models which have a limited freedom for the\ndensity distribution only. In summary, our findings give a strong argument for\n(Z=120,N=172) to be the next spherical doubly-magic superheavy nucleus.",
"arxiv_id": "nucl-th/9906030",
"authors": [
"M. Bender",
"K. Rutz",
"P. -G. Reinhard",
"J. A. Maruhn",
"W. Greiner"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.60.034304",
"journal_ref": "Phys.Rev. C60 (1999) 034304",
"title": "Shell structure of superheavy nuclei in self-consistent mean-field models",
"url": "https://arxiv.org/abs/nucl-th/9906030"
},
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