dorsal/arxiv
View SchemaTensor interaction contributions to single-particle energies
| Authors | B. A. Brown, T. Duguet, T. Otsuka, D. Abe, T. Suzuki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0611019 |
| URL | https://arxiv.org/abs/nucl-th/0611019 |
| DOI | 10.1103/PhysRevC.74.061303 |
| Journal | Phys.Rev.C74:061303,2006 |
Abstract
We calculate the contribution of the nucleon-nucleon tensor interaction to single-particle energies with finite-range $ G $ matrix potentials and with zero-range Skyrme potentials. The Skx Skyrme parameters including the zero-range tensor terms with strengths calibrated to the finite-range results are refitted to nuclear properties. The fit allows the zero-range proton-neutron tensor interaction as calibrated to the finite-range potential results and that gives the observed change in the single-particle gap $\epsilon$(h$_{11/2}$)-$\epsilon$(g$_{7/2}$) going from $^{114}$Sn to $^{132}$Sn. However, the experimental $\ell$ dependence of the spin-orbit splittings in $^{132}$Sn and $^{208}$Pb is not well described when the tensor is added, due to a change in the radial dependence of the total spin-orbit potential. The gap shift and a good fit to the $\ell$-dependence can be recovered when the like-particle tensor interaction is opposite in sign to that required for the $ G $ matrix.
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"abstract": "We calculate the contribution of the nucleon-nucleon tensor interaction to\nsingle-particle energies with finite-range $ G $ matrix potentials and with\nzero-range Skyrme potentials. The Skx Skyrme parameters including the\nzero-range tensor terms with strengths calibrated to the finite-range results\nare refitted to nuclear properties. The fit allows the zero-range\nproton-neutron tensor interaction as calibrated to the finite-range potential\nresults and that gives the observed change in the single-particle gap\n$\\epsilon$(h$_{11/2}$)-$\\epsilon$(g$_{7/2}$) going from $^{114}$Sn to\n$^{132}$Sn. However, the experimental $\\ell$ dependence of the spin-orbit\nsplittings in $^{132}$Sn and $^{208}$Pb is not well described when the tensor\nis added, due to a change in the radial dependence of the total spin-orbit\npotential. The gap shift and a good fit to the $\\ell$-dependence can be\nrecovered when the like-particle tensor interaction is opposite in sign to that\nrequired for the $ G $ matrix.",
"arxiv_id": "nucl-th/0611019",
"authors": [
"B. A. Brown",
"T. Duguet",
"T. Otsuka",
"D. Abe",
"T. Suzuki"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.74.061303",
"journal_ref": "Phys.Rev.C74:061303,2006",
"title": "Tensor interaction contributions to single-particle energies",
"url": "https://arxiv.org/abs/nucl-th/0611019"
},
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