dorsal/arxiv
View SchemaGamow shell model and realistic nucleon-nucleon interactions
| Authors | G. Hagen, M. Hjorth-Jensen, N. Michel |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0602035 |
| URL | https://arxiv.org/abs/nucl-th/0602035 |
| DOI | 10.1103/PhysRevC.73.064307 |
| Journal | Phys.Rev.C73:064307,2006 |
Abstract
We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized N3LO interaction model. The corresponding Gamow one-body eigenstates are generated in a plane wave basis in order to build a Gamow shell-model set of basis states for the closed shell nuclei 4He and 16O. We address also the problem of representing a realistic nucleon-nucleon interaction in a two-particle Berggren basis in the laboratory frame. To achieve this, an expansion of matrix elements of the residual nucleon-nucleon interaction in a finite set of harmonic oscillator wave functions is used. We show that all loosely bound and narrow resonant states converge surprisingly fast. Even broad resonances in these two-particle valence systems converge within a reasonable number of harmonic oscillator functions. Examples of 6He and 18O Gamow shell-model calculations using 4He and 16}O as closed shell cores are presented. This procedure allows Gamow shell-model calculations to be performed with all realistic nucleon-nucleon interactions and with either momentum or position space representations for the Gamow basis. The possibility to remove the center of mass spuriosity of Gamow shell-model nuclear states with this method is also discussed. Perspectives for nuclear structure calculations of dripline nuclei are outlined.
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"abstract": "We present a new and efficient method to obtain a Gamow shell-model basis and\nmatrix elements generated by realistic nucleon-nucleon interactions. We derive\na self-consistent Hartree-Fock potential from the renormalized N3LO interaction\nmodel. The corresponding Gamow one-body eigenstates are generated in a plane\nwave basis in order to build a Gamow shell-model set of basis states for the\nclosed shell nuclei 4He and 16O. We address also the problem of representing a\nrealistic nucleon-nucleon interaction in a two-particle Berggren basis in the\nlaboratory frame. To achieve this, an expansion of matrix elements of the\nresidual nucleon-nucleon interaction in a finite set of harmonic oscillator\nwave functions is used. We show that all loosely bound and narrow resonant\nstates converge surprisingly fast. Even broad resonances in these two-particle\nvalence systems converge within a reasonable number of harmonic oscillator\nfunctions. Examples of 6He and 18O Gamow shell-model calculations using 4He and\n16}O as closed shell cores are presented. This procedure allows Gamow\nshell-model calculations to be performed with all realistic nucleon-nucleon\ninteractions and with either momentum or position space representations for the\nGamow basis. The possibility to remove the center of mass spuriosity of Gamow\nshell-model nuclear states with this method is also discussed. Perspectives for\nnuclear structure calculations of dripline nuclei are outlined.",
"arxiv_id": "nucl-th/0602035",
"authors": [
"G. Hagen",
"M. Hjorth-Jensen",
"N. Michel"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.73.064307",
"journal_ref": "Phys.Rev.C73:064307,2006",
"title": "Gamow shell model and realistic nucleon-nucleon interactions",
"url": "https://arxiv.org/abs/nucl-th/0602035"
},
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