dorsal/arxiv
View SchemaSpin-orbit coupling in nuclei and realistic nucleon-nucleon potentials
| Authors | N. Kaiser |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407116 |
| URL | https://arxiv.org/abs/nucl-th/0407116 |
| DOI | 10.1103/PhysRevC.70.034307 |
| Journal | Phys.Rev. C70 (2004) 034307 |
Abstract
We analyze the spin-orbit coupling term in the nuclear energy density functional in terms of a zero-range NN-contact interaction and finite-range contributions from two-pion exchange. We show that the strength of the spin-orbit contact interaction as extracted from high-precision nucleon-nucleon potentials is in perfect agreement with that of phenomenological Skyrme forces employed in non-relativistic nuclear structure calculations. Additional long-range contributions from chiral two-pion exchange turn out to be relatively small. These explicitly density-dependent contributions reduce the ratio of the isovector to the isoscalar spin-orbit strength significantly below the Skyrme value 1/3. We perform a similar analysis for the strength function of the $(\vec \nabla \rho)^2$-term and find values not far from those of phenomenological Skyrme parameterizations.
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"abstract": "We analyze the spin-orbit coupling term in the nuclear energy density\nfunctional in terms of a zero-range NN-contact interaction and finite-range\ncontributions from two-pion exchange. We show that the strength of the\nspin-orbit contact interaction as extracted from high-precision nucleon-nucleon\npotentials is in perfect agreement with that of phenomenological Skyrme forces\nemployed in non-relativistic nuclear structure calculations. Additional\nlong-range contributions from chiral two-pion exchange turn out to be\nrelatively small. These explicitly density-dependent contributions reduce the\nratio of the isovector to the isoscalar spin-orbit strength significantly below\nthe Skyrme value 1/3. We perform a similar analysis for the strength function\nof the $(\\vec \\nabla \\rho)^2$-term and find values not far from those of\nphenomenological Skyrme parameterizations.",
"arxiv_id": "nucl-th/0407116",
"authors": [
"N. Kaiser"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.70.034307",
"journal_ref": "Phys.Rev. C70 (2004) 034307",
"title": "Spin-orbit coupling in nuclei and realistic nucleon-nucleon potentials",
"url": "https://arxiv.org/abs/nucl-th/0407116"
},
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