dorsal/arxiv
View SchemaEvolution of nuclear shells with the Skyrme density dependent interaction
| Authors | D. M. Brink, Fl. Stancu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0702065 |
| URL | https://arxiv.org/abs/nucl-th/0702065 |
| DOI | 10.1103/PhysRevC.75.064311 |
| Journal | Phys.Rev.C75:064311,2007 |
Abstract
We present the evolution of the shell structure of nuclei in Hartree-Fock calculations using Skyrme's density-dependent effective nucleon-nucleon interaction. The role of the tensor part of the Skyrme interaction to the Hartree-Fock spin-orbit splitting in spherical spin unsaturated nuclei is reanalyzed. The contribution of a finite range tensor force to the spin-orbit splitting in closed shell nuclei is calculated. It is found that the exact matrix elements of a Gaussian and of a one-pion exchange tensor potential could be written as a product Skyrme's short range expression times a suppression factor which is almost constant for closed shell nuclei with mass number $A\geq 48$. The suppression factor is $\sim 0.15$ for the one-pion exchange potential.
{
"annotation_id": "f7b97eb4-02a7-4907-8f37-7136571e76c4",
"date_created": "2026-03-02T18:00:11.710000Z",
"date_modified": "2026-03-02T18:00:11.710000Z",
"file_hash": "3b1b3e6aca67d5bfef858bb5631623bd61cc5ba3ab4170390a7534e227cfc147",
"private": false,
"record": {
"abstract": "We present the evolution of the shell structure of nuclei in Hartree-Fock\ncalculations using Skyrme\u0027s density-dependent effective nucleon-nucleon\ninteraction. The role of the tensor part of the Skyrme interaction to the\nHartree-Fock spin-orbit splitting in spherical spin unsaturated nuclei is\nreanalyzed. The contribution of a finite range tensor force to the spin-orbit\nsplitting in closed shell nuclei is calculated. It is found that the exact\nmatrix elements of a Gaussian and of a one-pion exchange tensor potential could\nbe written as a product Skyrme\u0027s short range expression times a suppression\nfactor which is almost constant for closed shell nuclei with mass number $A\\geq\n48$. The suppression factor is $\\sim 0.15$ for the one-pion exchange potential.",
"arxiv_id": "nucl-th/0702065",
"authors": [
"D. M. Brink",
"Fl. Stancu"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.75.064311",
"journal_ref": "Phys.Rev.C75:064311,2007",
"title": "Evolution of nuclear shells with the Skyrme density dependent interaction",
"url": "https://arxiv.org/abs/nucl-th/0702065"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "10f75056-2ea5-4d79-ac79-b834ca28e82c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}